Algebraic K-theory, Groups and Categories
A report pursuant to the amalgamation in 1995 of two separate proposals for INTAS support in the areas of Algebraic K-theory, and Categorical Methods in Algebraic Homotopy and related topics. Period covered: 1997-2000. Project Coordinator: Prof. R. Brown |
Algebraic K-Theory, Linear Algebraic Groups and Related Structures
TMR Network Project. Network Coordinator: Ulf Rehmann, Bielefeld |
Algebraic Topology
Encyclopedic reference for "Algebraic Topology" in Dave Rusin's Mathematical Atlas. Includes a brief history along with various links to textbooks, reference works, and tutorials on the subject. |
Algebraic Topology
An encyclopedic reference containing definitions, some discussion, and an assortment of useful links to various resources concerning Algebraic Topology and K-Theory. |
Algebraic Topology and Concurrency
A collection of preprints on the applications of Algebraic Topology to Computer Science, such as the use of topological techniques to formulate synchronous models of distributed computing. |
Algebraic Topology by Solomon Lefschetz
Algebraic Topology text published by the American Mathematical Society (AMS), and available as a free download in PDF format. |
Algebraic Topology Discussion List
Includes information on subscribing, archives of past discussions, and links to home pages of algebraic topologists and other related resources. |
Algebraic Topology Textbook
A complete, downloadable, introductory text on Algebraic Topology, by Prof. Allen Hatcher, Cornell Univ. 3rd Ed. 553 pp. with illustrations. Available in pdf and postscript versions. |
Algorithms for the Fixed Point Property
A survey of various algorithms used to determine if a given ordered set has the fixed point property, that is, whether it has a fixed point free order-preserving self-map. Algorithms using the methods of Algebraic Topology are compared with other techni |
Allen Hatcher's Homepage
Links to online texts and papers (published and unpublished) on Algebraic Topology, K-Theory, and 3-Manifolds. |
An Introduction to Algebraic K-theory
An incomplete graduate textbook in Algebraic K-Theory, by Charles Weibel. Several chapters are available online. |
British Topology Home Page
A usable collection of pointers to Topology-related sites, including archives and conference announcements. The focus is mainly on British and European resources, with some links and references to research conducted in other parts of the globe. |
Ext Charts
Charts for modules over the odd-primary Steenrod Algebra, by Christian Nassau. In Postscript. |
Five talks on the Poincaré Conjecture
Streaming video links to lectures by Prof. John Morgan on the famous Poincaré Conjecture filmed during a 5-day series on the topic held at Columbia University on Monday, October 13, through Friday, October 17, 2003. Thurston Geometrization, and Hamilt |
Higher Dimensional Group Theory
This article by Prof. Ronald Brown discusses the advantageous application of groupoids to higher-dimensional Homotopy theory. |
Homology, Homotopy and Applications - General Information
An all-electronic, peer-reviewed, international journal of leading-edge research in Homological and Homotopical Algebra, K-Theory, and applications. |
Hopf Topology Archive
A preprint archive of research papers on Algebraic Topology. |
K-theory
Encyclopedic reference for "K-Theory" in Dave Rusin's Mathematical Atlas. Includes a brief history along with various links to textbooks, reference works, and tutorials on the subject. |
K-theory Calendar
A calendar of upcoming and past events (workshops, colloquia, lectures) pertaining to K-Theory and its applications. |
K-theory Preprint Archives
An extensive archive of pre-publication papers (preprints) on Algebraic K-Theory. |
Math Front: AT Algebraic Topology
An archive of pre-publication papers (preprints) on Algebraic Topology. |
MathWorld
Index to more than 100 articles on Algebraic Topology. |
Modern Homotopy Theory
A Research Training Network (RTN) devoted to the Steenrod algebra, classifying spaces and related topics and to Rational homotopy theory and related topics. This RTN is supported by the European Commission. |
Novikov Conjecture Home Page
An archive of developments concerning the Novikov Conjecture and related problems in Algebraic Topology, General Topology, Geometry, Algebra, and Analysis. Maintained by Jonathan Rosenberg. |
Open Problems in Algebraic Topology
Problems in Algebraic Topology, compiled by mathematician Mark Hovey of Wesleyan University. |
Poincaré Conjecture -- from MathWorld
A widely accessible statement of the Poincaré Conjecture and its implications, with various links and references for further inquiry. |
Surgery Bits and Pieces
Assorted articles and minutia concerning Algebraic Surgery, assembled by Andrew Ranicki. |
Table of the Homotopy Groups of Spheres
From Toda's book: "Composition Methods in Homotopy Groups of Spheres." |
The Hopf Fibration
Notes and images of the Hopf map from S3 to S2. |
What is Algebraic Topology?
Introductory essay by Joe Neisendorfer, University of Rochester. |
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