Geometry.Net - Pure_And_Applied_Math: Algebraic Topology

Algebraic Topology Authors/titles Oct 2002
algebraic topology. Authors and titles for Oct 2002. on page 1, line 22 Subjclassalgebraic topology; General Topology MSC-class MSC 55N33, 58A35
http://arxiv.org/list/math.AT/0210
Algebraic Topology
Next Previous Contents algebraic topology. Andries Brouwer, aeb@cwi.nl. v1.0, 991111Some fragments of algebraic topology. 1. Introduction. 2. Topology.
http://www.win.tue.nl/~aeb/at/algtop.html
Course Algebraic Topology
Course algebraic topology. Lecturer. prof.dr. AE Brouwer, emailaeb@cwi.nl. Dates. 15 Feb 2002, 22 Feb 2002, 1 Mar 2002, 8 Mar 2002
http://www.win.tue.nl/~aeb/at/

Extractions: 12 Apr 2002, 19 Apr 2002, 26 Apr 2002, 3 May 2002, 10 May 2002. Eindhoven University of Technology, room HG 9.40. Some fragments of lecture notes are available already. Further notes will be distributed. (Nederlands vervolg) 1e college (2002-02-15). Topologische ruimten, scheidingsaxioma's, regulier open verzamelingen, Boolese algebras, ordinaalgetallen.
AMS Summer 1999 Research Conference In Algebraic Topology
University of Colorado, Boulder, USA; 2024 June 1999. Photos, proceedings.Category Science Math Topology Events Past Events1999 AMSIMS-SIAM Summer Research Conference on HOMOTOPY METHODS IN ALGEBRAICTOPOLOGY. WHEN Sunday, June 20 - Thursday, June 24, 1999.
http://www.math.wayne.edu/~rrb/Summer99/

Extractions: HOMOTOPY METHODS IN ALGEBRAIC TOPOLOGY WHEN: Sunday, June 20 - Thursday, June 24, 1999 (check in June 19, check out June 25) WHERE: University of Colorado , Boulder, CO Now that the conference is over, this web page will be maintained for a time as a source of information about the conference and about the proceedings of the conference. (Which should be appearing any day now.) Here are some photos from the banquet, taken by Donna Salter of the AMS. Here is a copy of the conference photo . It is a 700500 byte jpeg, 3000 x 2187 pixels in size, which takes 10 to 20 minutes to download on my 28 K line. Note that the upper left corner is quite dark: there is nothing wrong with your browser. Scroll down and right to see the people in the photo. Here is a cropped version which is only 532849 bytes, 1265 x 436 pixels in size, and which appears much smaller for some reason known only to XV, the program used to crop it. This is the schedule of talks as they actually occurred, and an alphabetical list of speakers (with titles and abstracts), and the
Home - Barcelona Algebraic Topology Group
Mathematics Department, Barcelona algebraic topology Home Page, UAB. Welcome!For Barcelona Conference on algebraic topology 2002. Information
http://mat.uab.es/topalg/page.htm

Extractions: Marie Curie Training Site Fellowships Applications are invited from graduate students pursuing doctoral studies related to Topology in member states of the European Community or associated states, for short stays at the CRM. This Training Site is supported by the European Commission under contract no. HPMT-2000-00075, Cohomological and Group-Theoretical Methods in Topology. Click here for further information.
1982 Workshop On Algebraic Topology
Workshop on algebraic topology Bellaterra, March 23 to 26, 1982. OrganizingCommittee J. Aguadé and M. Castellet Proceedings Workshop
http://mat.uab.es/bcat98/82wat.htm

Extractions: A. Zabrodsky (Jerusalem) Titles of Talks (articles based on these talks can be found in the proceedings) B. Cenkl and R. Porter, Cup-i product and higher homotopies in the de Rham complex. Notes on proper homotopy theories associated with compact PL -manifolds. J. Ewing and A. Edmonds, Periodic surface diffeomorphisms which bound, bound periodically.
Algebraic Topology - Cambridge University Press
Home Catalogue algebraic topology. Related Areas New titles Email For updateson new titles in Pure Mathematics. algebraic topology. Allen Hatcher. £20.95.
http://books.cambridge.org/0521795400.htm
Algebraic Topology - Cambridge University Press
Home Catalogue algebraic topology. Related Areas New titles Email For updateson new titles in Pure Mathematics. algebraic topology. Allen Hatcher. £60.00.
http://books.cambridge.org/052179160X.htm
Research In Geometry & Algebraic Topology
Research in Geometry algebraic topology. Geometry and algebraic topology thegeneralised Mckay correspondence. algebraic topology.
http://www.maths.gla.ac.uk/research/groups/geoalgtop/

Extractions: Combinatorics In many respects, the latter half of the 20th Century has been a golden age of Geometry and Topology, with spectacular advances in the study of manifolds (particularly in dimension 4), Global Analysis including Index Theory, complex manifolds and Algebraic Geometry, including its applications in Number Theory. Increasingly, strong connections with integrable system theory and global aspects of differential equations as well as the remarkable two-way flow of ideas between Geometry and Theoretical Physics are dominating developments. Algebraic Topology has developed important machinery such as cohomology theories including ordinary cohomology, K -theory, cobordism and elliptic cohomology. These are often of use in geometric situations, as well as within Algebraic Topology itself which tends to study much less `rigid' geometric situations than Geometers do. There have also been significant interactions with many areas of Algebra, and indeed much of Algebraic Topology can be viewed as `applied algebra' as well as being a major source of innovative algebraic ideas. Departmental research activity in Geometry and Topology occurs in the following areas.
MAT 539 -- Algebraic Topology
MAT 539 algebraic topology. Textbook. Differential forms in algebraic topology,by Raoul Bott and Loring W. Tu, GTM 82, Springer Verlag 1982.
http://www.math.sunysb.edu/~sorin/topology/home.html

Extractions: Algebraic Topology Instructor Sorin Popescu (office: Math 4-119, tel. 632-8358, e-mail sorin@math.sunysb.edu Prerequisites A basic introduction to geometry/topology, such as MAT 530 and MAT 531 Textbook Differential forms in algebraic topology , by Raoul Bott and Loring W. Tu, GTM , Springer Verlag 1982. The guiding principle of the book is to use differential forms and in fact the de Rham theory of differential forms as a prototype of all cohomology thus enabling an easier access to the machineries of algebraic topology in the realm of smooth manifolds. The material is structured around four core sections: de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes, and includes also some applications to homotopy theory. Other recommended texts: Algebraic Topology: A first Course , W. Fulton, GTM , Springer Verlag 1995 Topology from the Differentiable Viewpoint , J. Milnor, U. of Virginia Press 1965 Algebraic Topology , A. Hatcher (on-line), Cambridge University Press, to appear Characteristic classes , J. Milnor and J. Stasheff, Princeton University Press 1974
May, J. P.: A Concise Course In Algebraic Topology
May, JP A Concise Course in algebraic topology, university pressbooks, shopping cart, new release notification.
http://www.press.uchicago.edu/cgi-bin/hfs.cgi/00/13911.ctl

Extractions: May, J. P. A Concise Course in Algebraic Topology . x, 244 p., 117 line drawings. 1999 Series: (CLM) Chicago Lectures in Mathematics Series Paper $20.00tx 0-226-51183-9 Fall 1999 Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field. Subjects: The University of Chicago Press You may purchase this title at these fine bookstores . Outside the USA, consult our
May, J. P.: Simplicial Objects In Algebraic Topology
May, JP Simplicial Objects in algebraic topology, university pressbooks, shopping cart, new release notification.
http://www.press.uchicago.edu/cgi-bin/hfs.cgi/00/1470.ctl

Extractions: May, J. P. Simplicial Objects in Algebraic Topology Paper $20.00tx 0-226-51181-2 Spring 1993 Since it was first published in 1967, Simplicial Objects in Algebraic Topology has been the standard reference for the theory of simplicial sets and their relationship to the homotopy theory of topological spaces. J. Peter May gives a lucid account of the basic homotopy theory of simplicial sets (discrete analogs of topological spaces) which have played a central role in algebraic topology ever since their introduction in the late 1940s. Simplicial Objects in Algebraic Topology presents much of the elementary material of algebraic topology from the semi-simplicial viewpoint. It should prove very valuable to anyone wishing to learn semi-simplicial topology. [May] has included detailed proofs, and he has succeeded very well in the task of organizing a large body of previously scattered material." Mathematical Review Subjects: The University of Chicago Press You may purchase this title at these fine bookstores . Outside the USA, consult our
University Of Chicago Algebraic Topology Seminar
Topology Seminar. Schedule and links to other meetings.Category Science Math Topology Research GroupsUniversity of Chicago algebraic topology Seminar. 430 pm Tuesday, January21, 2003 algebraic topology No seminar; Second Namboodiri Lecture
http://www.math.uchicago.edu/seminars/algebraic_topology.html
University Of Chicago Algebraic Topology Seminar
University of Chicago algebraic topology Seminar. The algebraic topology PreviousQuarters' algebraic topology Seminar Calendars
http://www.math.uchicago.edu/~jg/winter00topsem.html

Extractions: University of Chicago Algebraic Topology Seminar The Algebraic Topology Seminar is held in Eckhart Hall room 203 on Tuesdays at 4:00pm, after tea. Topologists come from all over the world to speak in the seminar on their current research. All are welcome to attend. An Algebraic Topology Proseminar in Eckhart 308 often preceeds the Algebraic Topology Seminar at 2:30, before tea. The proseminar is more informal than the seminar and is indended to prepare students and non-topologists for seminar talks or for discussion of other topics in current topological research. The proseminar is primarily intended for members of the department, but all are welcome to attend. January 11 4:00 Alexander Voronov , Michigan State University
Algebraic Topology Resources
algebraic topology resources. Recommended References. see index fortotal category for your convenience Best Retirement Spots
http://futuresedge.org/mathematics/Algebraic_Topology_.html
MA408 Algebraic Topology
MA408, Term 2. algebraic topology, 18 CATS. However, there are several books onalgebraic topology which cover some of the ideas in the module, for example
http://www.maths.warwick.ac.uk/pydc/mauve/mauve-MA408.html

Extractions: Term 2 Algebraic Topology 18 CATS Status List C Commitment : 30 one-hour lectures. Prerequisites MA3F1 Introduction to Topology (keen students can take this module at the same time), MA455 Manifolds (when available) can be taken at the same time as Algebraic Topology Content : Algebraic topology is concerned with the construction of algebraic invariants (usually groups) associated to topological spaces which serve to distinguish between them. Most of these invariants are ``homotopy'' invariants. In essence, this means that they do not change under continuous deformation of the space and homotopy is a precise way of formulating the idea of continuous deformation. This module will concentrate on constructing the most basic family of such invariants, homology groups, and the applications of these homology groups. The starting point will be simplicial complexes and simplicial homology. An n -simplex is the n -dimensional generalisation of a triangle in the plane. A simplicial complex is a topological space which can be decomposed as a union of simplices. The simplicial homology depends on the way these simplices fit together to form the given space. Roughly speaking, it measures the number of
Algebraic Topology (M24)
Topology algebraic topology (M24). B. Totaro. The twentieth centurymay one day be known as the age of algebraic topology. In
http://www.maths.cam.ac.uk/postgrad/courses/descriptions/node36.html

Extractions: Next: Morse Theory (L24) Up: Topology Previous: Topology B. Totaro The twentieth century may one day be known as the age of Algebraic Topology. In the past, to solve a mathematical problem typically meant finding an exact formula for the solution. But that is usually impossible; and even when it is possible, a complicated formula may not give much insight. The idea of topology is that the general shape of a mathematical object is the most important thing. Algebraic topology is the central core of topology: it explains how to describe shapes in a precise and computable way. The ideas of algebraic topology are now important in almost all mathematical subjects, even those where no topology is visible at first, such as number theory, algebraic geometry, and representation theory. Pre-requisite Mathematics I will assume knowledge of point-set topology (compactness, connectedness, and so on) and algebraic notions such as groups and rings. Students from Cambridge will have seen the fundamental group and some version of homology or cohomology groups in the Part IIB courses on Algebraic Topology or Differentiable Manifolds. If you haven't seen such things before, I suggest looking at one of the many introductions to algebraic topology over the summer. Some that I find most readable are M.A. Armstrong, Basic topology, Springer (1983) (for the fundamental group and simplicial homology groups), or the beginning of Bott and Tu, for the de Rham cohomology ring.
ALGEBRAIC TOPOLOGY
algebraic topology. (B5, 16 lectures). Part IB Further Analysis is essential andAnalysis II is desirable. W. Massey. algebraic topology an introduction .
http://www.maths.cam.ac.uk/undergrad/schedules/text/node64.html

Extractions: Covering spaces Covering spaces and covering maps. Path-lifting and homotopy-lifting properties. The determination of the fundamental group of spheres, tori, and real projective spaces. *The correspondence, for a connected, locally contractible space X , between coverings of X and conjugacy classes of subgroups of the fundamental group of X . The universal covering of X
Introduction To Algebraic Topology
Mathematics 272b. Introduction to algebraic topology. Michael Hopkins.Spectral sequences and techniques of computation. Vector bundles
http://icg.harvard.edu/6502
Introduction To Algebraic Topology
Mathematics 272a. Introduction to algebraic topology. Peter Kronheimer.Covering spaces and fibrations. Simplicial and CW complexes.
http://icg.harvard.edu/1666

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