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         Algebraic Topology:     more books (100)
  1. A Concise Course in Algebraic Topology (Chicago Lectures in Mathematics) by J. P. May, 1999-09-01
  2. Algebraic Topology by Allen Hatcher, 2001-11-15
  3. Algebraic Topology (Volume 0) by Edwin H. Spanier, 1994-12-06
  4. An Introduction to Algebraic Topology (Dover Books on Mathematics) by Andrew H. Wallace, 2007-02-27
  5. Algebraic Topology by C. R. F. Maunder, 1996-06-14
  6. A History of Algebraic and Differential Topology, 1900 - 1960 (Modern Birkhäuser Classics) by Jean Dieudonné, 2009-06-09
  7. Algebraic Topology by William Fulton, 1995-07-27
  8. Algebraic Topology: An Introduction (Graduate Texts in Mathematics) (v. 56) by William S. Massey, 1977-11-02
  9. Algebraic Topology (Colloquium Pbns. Series, Vol 27) by Solomon Lefschetz, Solomon Lefschetz, 1980
  10. Combinatorial Algebraic Topology (Algorithms and Computation in Mathematics) by Dimitry Kozlov, 2008-01-30
  11. Lectures on Algebraic Topology (Classics in Mathematics) by Albrecht Dold, A. Dold, 1995-02-15
  12. Elements Of Algebraic Topology by James R. Munkres, 1996-01-01
  13. Differential Forms in Algebraic Topology (Graduate Texts in Mathematics) by Raoul Bott, Loring W. Tu, 2010-11-02
  14. A basic course in algebraic topology (v. 127) by W.S. Massey, 1980-04-29

1. Hopf Topology Archive, Revised Version
Seminars at Purdue. algebraic topology Discussion Group Archives maintained by DonDavis. HTTP uploading of submissions. Newer Photographs on Hopf. Time capsule
http://hopf.math.purdue.edu/pub/hopf.html
Hopf Topology Archive
Welcome to the Hopf Topology Archive!
  • Hopf Author/Title Search: enter author or title keyword into box below.

  • PaperSearch
  • The Hopf Logos
    The Hopf Archive, month by month listing.
    CDROM of current Hopf Archive (April 4, 2002) (650MB )
  • This archive list is current through October 2002. Newer files may be in the proper directories but not listed on the html list. These are accessible as http://hopf.math.purdue/AuthorName <- usually last names of authors. If you have a submission that has not been announced or posted and some time has elapsed, please email Mark and Clarence (but please try the "Reload" button on your browser first. Thanks, Clarence) Hopf has been upgraded to faster CPU and disk. Hope it helps the service. Also, HTTP uploading (http://hopf.math.purdue.edu/upload.php) has been added. Clarence
  • What's New!
  • Uploading Preprints Latest maintained by Mark Hovey. Back issues of Mark's What's New! Seminars at Purdue Algebraic Topology Discussion Group Archives maintained by Don Davis HTTP uploading of submissions.

    2. Algebraic Topology Discussion List
    The primary functions of this list are providing abstracts of papers posted to the Hopf archive, Category Science Math Topology......algebraic topology Discussion List. This topology. This website also servesas an archive of links to websites related to algebraic topology.
    http://www.lehigh.edu/~dmd1/algtop.html
    Algebraic Topology Discussion List
    This list is maintained by Don Davis. To subscribe or unsubscribe or post a message for the list, send e-mail to dmd1@lehigh.edu. The primary functions of this list are the first three items listed below: providing abstracts of papers posted to the Hopf archive, providing information about topology conferences, and serving as a forum for topics related to algebraic topology. This website also serves as an archive of links to websites related to algebraic topology. As a new service for the nonspecialist, we have an

    3. Essays About Algebraic Topology
    Essays about algebraic topology. What is topology?, by Bob Bruner (Wayne StateUniv); What is algebraic topology?, by Joe Neisendorfer (Univ of Rochester);
    http://www.lehigh.edu/~dmd1/essays.html
    Essays about algebraic topology
    Survey articles for the general public
    Survey articles about topics in topology, written for nonspecialists with some knowledge of mathematics

    4. AMS Online Books/COLL27
    by Solomon Lefschetz Publication Date 1942 Number of Pages 389 pp. Download Individual Chapters FREE (10 files - 41.5mb) Bibliography and Indexes Title List Help AMS Home AMS Bookstore. algebraic topology. by Solomon Lefschetz
    http://www.ams.org/online_bks/coll27
    Title List Help AMS Home AMS Bookstore
    Algebraic Topology by Solomon Lefschetz Publication Date: 1942
    Number of Pages: 389 pp.
    Publisher: AMS
    ISBN: 0-8218-3397-9
    COLL/27.E
    Download Individual Chapters FREE (10 files - 41.5mb)
    Frontmatter
    Title Contents Preface
  • Introduction to General Topology
    Additive Groups

    Complexes

    Complexes: Products. Transformations. Subdivisions
    ...
  • Endmatter
    Appendices
    Bibliography and Indexes
    Comments: webmaster@ams.org Privacy Statement

    5. Nantes 3-7 Sept 2001
    space homology, Cyclic Homology, Algebraic Ktheory. algebraic topology coming from problems of Geometric Topology, e.g.
    http://www.math.sciences.univ-nantes.fr/~franjou/2001.html
    http://www.math.sciences.univ-nantes.fr/~franjou/2001.html En francais
    last modified: July 19, 2001
    UMR 6629 G.D.R.E.1110
    Algebraic Topology Conference
    University of Nantes
    September 3 - 7 , 2001
    Deadline for registration: July 6, 2001. Registration is now closed Check your registration: please check that your name appears in the List of registered participants . If you do not appear on the list, although you sent us registration, please re-send the form at NCAT@math.univ-nantes.fr
    Get updated information http://www.math.sciences.univ-nantes.fr/~franjou/2001pratique.html
    Scientific program
    Schedule of talks

    List of registered participants
    ...
    Maps

    SCIENTIFIC PROGRAM
    The scientific program concerns main research fields in Modern Homotopy Theory: Algebraic Homotopy Theory, Unstable Modules over the Steenrod algebra, MacLane Homology, Operads, Loop space homology, Cyclic Homology, Algebraic K-theory. Algebraic Topology coming from problems of Geometric Topology, e.g. Knot Theory, Low dimensional Manifolds, Foliations, will also be included.
    The Program will contain one hour keynote talks by invited speakers, three lectures on Knot Invariants

    6. 55: Algebraic Topology
    55 algebraic topology algebraic topology is the study of algebraic objects attached to topological spaces; the algebraic invariants reflect some of the topological structure of the spaces.
    http://www.math.niu.edu/~rusin/known-math/index/55-XX.html
    Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields
    POINTERS: Texts Software Web links Selected topics here
    55: Algebraic topology
    Introduction
    Algebraic topology is the study of algebraic objects attached to topological spaces; the algebraic invariants reflect some of the topological structure of the spaces. The use of these algebraic tools calls attention to some types of topological spaces which are well modeled by the algebra; fiber bundles and related spaces are included here, while complexes (CW-, simplicial-, ...) are treated in section 57. Finally, the use of the algebraic tools also calls attention to the aspects of a topological space which are well modeled by the algebra; this gives rise to homotopy theory. The algebraic tools used in topology include various (co)homology theories, homotopy groups, and groups of maps. These in turn have necessitated the development of more complex algebraic tools such as derived functors and spectral sequences; the machinery (mostly derived from homological algebra) is powerful if rather daunting. In all cases, the "naturality" of the construction implies that a map between spaces induces a map between the groups. Thus one can show that no maps of some sort can exist between two spaces (e.g. homeomorphisms) since no corresponding group homomorphisms can exists. That is, the groups and homomorphisms offer an algebraic "obstruction" to the existence of maps. Classic applications include the nonexistence of retractions of disks to their boundary and, as a consequence, the Brouwer Fixed-Point Theorem. (Obstruction theory is, more generally, the creation of algebraic invariants whose vanishing is necessary for the existence of certain topological maps. For example a function defined on a subspace Y of a space X defines an element of a homology group; that element is zero iff the function may be extended to all of X.)

    7. Allen Hatcher's Homepage
    Contains textbooks in algebraic topology, KTheory, and 3-Manifolds.Category Science Math Topology algebraic topology......
    http://www.math.cornell.edu/~hatcher/
    Allen Hatcher
    Office: 553 Malott Hall
    Phone: (607)-255-4091
    On This Webpage: Book Projects: Papers Book Projects Real and Imaginary
    Algebraic Topology
    In an excess of youthful enthusiasm in the late 1980's I started writing an algebraic topology book with the ambitious goal of covering all the basics while yet remaining readable by newcomers seeing the subject for the first time. As the magnitude of the task gradually became apparent, the end of the book receded farther and farther into the distance. Eventually the book split into two volumes, then three. The first volume, which is now finished, contains the basic core material along with a number of optional topics of a relatively elementary nature. The other two volumes, which are largely independent of each other, are provisionally titled "Vector Bundles and K-Theory" and "Spectral Sequences in Algebraic Topology." These are only partially written see below. To find out more about the first book or to download it in electronic form, follow this link to the download page
    Vector Bundles and K-Theory
    The plan is for this to be a fairly short book focusing on topological K-theory and containing also the necessary background material on vector bundles and characteristic classes. For further information, and to download the part of the book that is written, go to

    8. Algebraic Topology Book
    In Dave Rusin's Mathematical Atlas.Category Science Math Topology algebraic topology...... the algebraic invariants reflect some of the topological structure of the
    http://www.math.cornell.edu/~hatcher/AT/ATpage.html
    Algebraic Topology To get an idea of what's in the book you can look at the Table of Contents and the Preface Printed Version . The book has been published by Cambridge University Press in a paperback edition (ISBN 0-521-79540-0) for US$30 and a hardback edition (ISBN 0-521-79160-X) at a considerably higher price. It is now in a third printing, with corrections of some minor errors in the earlier printings. (See farther down this page for a list of the corrections.) Electronic Version: By special arrangement with the publisher, an online version will continue to be available for download here. Individuals may print out single copies for their own use, but xeroxing multiple copies is not allowed. There are several different formats available. First of all, you can download the whole book as a single rather large pdf file (3.5Meg) of about 550 pages. If you wish to save paper when you print it out, there is also a pdf doublepage version with two pages side by side, reduced in size so that they fit on one sheet of standard US size paper, and probably also on European size paper. Another option is to download the individual chapters separately. These are available in both pdf and postscript formats. The postscript files are compressed as zip files, but they are still quite a bit larger than the pdf files. To get enough material for a one-semester introductory course you could start by downloading just Chapters 0, 1, and 2, along with the Table of Contents, Bibliography and Index. Here are the individual parts:

    9. Dynamic Directory - Science - Math - Topology - Algebraic Topology
    Hatcher's Homepage Contains textbooks in algebraic topology, K-Theory, and 3-Manifolds. Algebraic K-theory, Groups
    http://www.maximumedge.com/cgi/dir/index.cgi/Science/Math/Topology/Algebraic_Top
    var AdLoaded = false; var bsid = '18707'; var bsads = '6'; var bsloc = ''; var bswx = 468; var bshx = 60; var bsw = '_top'; var bsb = 'FFFFFF'; var bsf = '000000'; var bsalt = 'off';
    MaximumEdge.com
    Search E-Mail News ... Maps
    Dynamic Directory Top Science Math Topology :Algebraic Topology Categories Web Pages
    See also:

    10. Handbook Of Algebraic Topology
    Publisher's page. Contents, ordering information.Category Science Math Topology algebraic topology......
    http://www.elsevier.nl/locate/hat
    Home Search What's New
    Electronic Services
    ... Links Handbook of Algebraic Topology
    Book Information
    Description
    Contents

    Bibliographic and Ordering Information
    Contents Services
    Extended Contents
    Foreword

    List of Contributors

    Subject Index
    ...
    Related Info
    NORTH-HOLLAND
    Last update: 15 Mar 2003

    11. The Math Forum - Math Library - Algebraic Topology
    The Math Forum's Internet Math Library is a comprehensive catalog of Web sites and Web pages relating to the study of mathematics. This page contains sites relating to algebraic topology. Selected Sites (see also All Sites in this category). algebraic topology Dave Rusin; The Mathematical Atlas
    http://mathforum.com/library/topics/alg_topol
    Browse and Search the Library
    Home
    Math Topics Topology : Algebraic Topology

    Library Home
    Search Full Table of Contents Suggest a Link ... Library Help
    Selected Sites (see also All Sites in this category
  • Algebraic Topology - Dave Rusin; The Mathematical Atlas
    A short article designed to provide an introduction to algebraic topology, the study of algebraic objects attached to topological spaces. The algebraic invariants reflect some of the topological structure of the spaces. The use of these algebraic tools calls attention to some types of topological spaces which are well modeled by the algebra; fibre bundles and related spaces are included here... the use of the algebraic tools also calls attention to the aspects of a topological space which are well modeled by the algebra; this gives rise to homotopy theory. The algebraic tools used in topology include various (co)homology theories, homotopy groups, and groups of maps. These in turn have necessitated the development of more complex algebraic tools such as derived functors and spectral sequences. History, applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>>
  • AT Algebraic Topology (Front for the Mathematics ArXiv) - Univ. of California, Davis
  • 12. Algebraic Topology & Concurrency
    Applications of algebraic topology to computer science.Category Science Math Topology algebraic topology......No frames.
    http://www.ipipan.gda.pl/~stefan/AlgTop/
    No frames No frames

    13. Reports
    Directory of reports applying methods in algebraic topology to concurrent computation, following the Category Computers Computer Science Asynchronous Computability...... algebraic topology and Concurrency. To appear in Theoretical Computer Science. Algebraictopology in scheduling problems. Preprint R96-2013, Dept.
    http://www.ipipan.gda.pl/~stefan/AlgTop/reports.html
    Reports
    For more up to date versions and for more complete listing of reports
    see the authors' home pages

    14. Index
    The emphasis of the conference is on categorical decomposition techniques, especially calculus of Category Science Math Topology Events Past Events......International Conference in algebraic topology Isle of Skye Scotland 24-30 June 2001 Research Centre in Topology and Related Areas Department of
    http://www.maths.abdn.ac.uk/~stc2001/
    International Conference in Algebraic Topology
    Isle of Skye - Scotland
    24- 30 June 2001
    Research Centre in Topology and Related Areas

    Department of Mathematical Sciences

    University of Aberdeen

    An international Algebraic Topology conference is planned for the last week of June 2001 (June 24 - 30, 2001). The conference will take place on the Isle of Skye - a scenic island off the west coast of Scotland. The emphasis of the conference is on categorical decomposition techniques, especially calculus of functors and homology decompositions of classifying spaces. But the conference is intended to have a broad scope, with talks on a variety of topics of current interest in topology. A London Mathematical Society invited lecture series will take place in Aberdeen the week before the conference (June 18 - 23, 2001). Prof. T. Goodwillie will give a series of ten lectures on calculus of functors. Participants who wish to attend both meetings are encouraged to do so and will enjoy reduced registration fees. The following mathematicians have agreed to attend and give a plenary talk.

    15. Algebraic Topology -- From MathWorld
    algebraic topology, The discipline of algebraic topology is popularly known as rubbersheetgeometry and can also be viewed as the study of disconnectivities.
    http://mathworld.wolfram.com/AlgebraicTopology.html

    Topology
    Algebraic Topology
    Algebraic Topology

    The study of intrinsic qualitative aspects of spatial objects (e.g., surfaces spheres tori circles ... links , configuration spaces, etc.) that remain invariant under both-directions continuous one-to-one homeomorphic ) transformations. The discipline of algebraic topology is popularly known as " rubber-sheet geometry " and can also be viewed as the study of disconnectivities . Algebraic topology has a great deal of mathematical machinery for studying different kinds of hole structures, and it gets the prefix "algebraic" since many hole structures are represented best by algebraic objects like groups and rings A technical way of saying this is that algebraic topology is concerned with functors from the topological category of groups and homomorphisms . Here, the functors are a kind of filter, and given an "input" space , they spit out something else in return. The returned object (usually a group or ring ) is then a representation of the hole structure of the space , in the sense that this algebraic object is a vestige of what the original space was like (i.e., much information is lost, but some sort of "shadow" of the

    16. Algebraic Topology - Wikipedia
    algebraic topology. algebraic topology is a branch of mathematics in whichtools from abstract algebra are used to study topological spaces.
    http://www.wikipedia.org/wiki/Algebraic_topology
    Main Page Recent changes Edit this page Older versions Special pages Set my user preferences My watchlist Recently updated pages Upload image files Image list Registered users Site statistics Random article Orphaned articles Orphaned images Popular articles Most wanted articles Short articles Long articles Newly created articles All pages by title Blocked IP addresses Maintenance page External book sources Printable version Talk
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    Algebraic topology
    From Wikipedia, the free encyclopedia. Algebraic topology is a branch of mathematics in which tools from abstract algebra are used to study topological spaces The goal is to take topological spaces, and further categorize them by mapping them to groups , which have a great deal of structure. Two major ways in which this can be done are through fundamental groups , or homotopy, and through homology /cohomology groups. Fundamental groups give us crucial information about the structure of a topological space, but they are often nonabelian and can be difficult to work with. Homology/Cohomology groups, on the other hand, are abelian, and in many important cases even finitely generated. Finitely generated abelian groups can be completely classified and are particularly easy to work with.

    17. Stable Algebraic Topology 1945-1966, By J.P. May
    Stable algebraic topology 19451966, by JP May. This is a reasonablycomprehensive treatment of the history of stable algebraic topology
    http://www.math.uiuc.edu/K-theory/0321/
    Stable algebraic topology 1945-1966, by J.P. May
    This is a reasonably comprehensive treatment of the history of stable algebraic topology during the cited period. The table of contents gives an idea of the scope and limitations of the study. The emphasis is on the evolution of ideas, but some mathematical exposition of most of the main results is given. This paper will appear in a volume on the history of topology that is being edited by Ioan James. Contents:
  • Setting up the foundations
  • The Eilenberg-Steenrod axioms
  • Stable and unstable homotopy groups
  • Spectral sequences and calculations in homology and homotopy
  • The introduction of cobordism
  • The route from cobordism towards K-theory
  • Bott periodicity and K-theory
  • The Adams spectral sequence and Hopf invariant one
  • S-duality and the introduction of spectra
  • Oriented cobordism and complex cobordism
  • K-theory, cohomology, and characteristic classes
  • Generalized homology and cohomology theories
  • Vector fields on spheres and J(X)
  • Further applications and refinements of K-theory
  • Bordism and cobordism theories
  • Further work on cobordism and its relation to K-theory
  • High dimensional geometric topology
  • Iterated loop space theory
  • Algebraic K-theory and homotopical algebra
  • The stable homotopy category The Bibliography lists over 300 items.
  • 18. The Math Forum - Math Library - Algebraic Topology
    This page contains sites relating to algebraic topology. Browse and Searchthe Library Home Math Topics Topology algebraic topology.
    http://mathforum.org/library/topics/alg_topol/
    Browse and Search the Library
    Home
    Math Topics Topology : Algebraic Topology

    Library Home
    Search Full Table of Contents Suggest a Link ... Library Help
    Selected Sites (see also All Sites in this category
  • Algebraic Topology - Dave Rusin; The Mathematical Atlas
    A short article designed to provide an introduction to algebraic topology, the study of algebraic objects attached to topological spaces. The algebraic invariants reflect some of the topological structure of the spaces. The use of these algebraic tools calls attention to some types of topological spaces which are well modeled by the algebra; fibre bundles and related spaces are included here... the use of the algebraic tools also calls attention to the aspects of a topological space which are well modeled by the algebra; this gives rise to homotopy theory. The algebraic tools used in topology include various (co)homology theories, homotopy groups, and groups of maps. These in turn have necessitated the development of more complex algebraic tools such as derived functors and spectral sequences. History, applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>>
  • AT Algebraic Topology (Front for the Mathematics ArXiv) - Univ. of California, Davis
  • 19. About "Algebraic Topology"
    algebraic topology. Library Home Full Table of Contents Suggest a Link Library Help Resource Types Articles. Math Topics algebraic topology.
    http://mathforum.org/library/view/4261.html
    Algebraic Topology
    Library Home
    Full Table of Contents Suggest a Link Library Help
    Visit this site: http://www.math.niu.edu/~rusin/known-math/index/55-XX.html Author: Dave Rusin; The Mathematical Atlas Description: A short article designed to provide an introduction to algebraic topology, the study of algebraic objects attached to topological spaces. The algebraic invariants reflect some of the topological structure of the spaces. The use of these algebraic tools calls attention to some types of topological spaces which are well modeled by the algebra; fibre bundles and related spaces are included here... the use of the algebraic tools also calls attention to the aspects of a topological space which are well modeled by the algebra; this gives rise to homotopy theory. The algebraic tools used in topology include various (co)homology theories, homotopy groups, and groups of maps. These in turn have necessitated the development of more complex algebraic tools such as derived functors and spectral sequences. History, applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. Levels: College Languages: English Resource Types: Articles Math Topics: Algebraic Topology
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    20. Algebraic Topology Authors/titles Recent Submissions
    algebraic topology. Keywords and phrases Intersection Cohomology, StratifiedPseudomanifolds Subjclass algebraic topology MSC-class 35S35; 55N33
    http://arxiv.org/list/math.AT/recent
    Algebraic Topology
    Authors and titles for recent submissions
  • Tue, 18 Mar 2003 Mon, 17 Mar 2003 Fri, 14 Mar 2003 Thu, 13 Mar 2003 ... Tue, 11 Mar 2003
  • Tue, 18 Mar 2003
    math.AT/0303207 abs ps pdf other
    Title: Combinatorial classes on the moduli space of curves are tautological
    Authors: Gabriele Mondello
    Comments: 25 pages, 2 figures (xypic), LaTeX2e
    Subj-class: Algebraic Topology; Algebraic Geometry
    MSC-class:
    Mon, 17 Mar 2003
    math.AT/0303177 abs ps pdf other
    Title: Changement de base pour les foncteurs Tor
    Authors: Mathieu Zimmermann
    Comments: 11 pages
    Subj-class: Algebraic Topology
    MSC-class:
    math-ph/0303035 abs ps pdf other
    Title: Discrete connections on the triangulated manifolds and difference linear equations
    Authors: S.P.Novikov
    Comments: 25 pages, Latex Subj-class: Mathematical Physics; Differential Geometry; Algebraic Topology
    Fri, 14 Mar 2003
    math.AT/0303164 abs ps pdf other
    Title: Stanley-Reisner rings and torus actions Authors: Taras E. Panov (Moscow State University and ITEP) Comments: 28 pages, LaTeX2e Subj-class: Algebraic Topology; Commutative Algebra; Combinatorics MSC-class:
    math.AT/0303157

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