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

An encyclopedic reference containing definitions, some discussion, and an assortment of useful links to various resources concerning Algebraic Topology and K-Theory.

Includes information on subscribing, archives of past discussions, and links to home pages of algebraic topologists and other related resources.

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.

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 text published by the American Mathematical Society (AMS), and available as a free download in PDF format.

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 techniques.

An incomplete graduate textbook in Algebraic K-Theory, by Charles Weibel. Several chapters are available online.

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.

Charts for modules over the odd-primary Steenrod Algebra, by Christian Nassau. In Postscript.

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 Hamilton’s ‘Ricci flow’ method, leading up to the Perelman’s proposed proof, are discussed. RealOne Player is required to view the video.

Geometric topology. With textbooks on Algebraic Topology, Vector Bundles and K-theory, and 3-manifolds.

This article by Prof. Ronald Brown discusses the advantageous application of groupoids to higher-dimensional Homotopy theory.

An all-electronic, peer-reviewed, international journal of leading-edge research in Homological and Homotopical Algebra, K-Theory, and applications.

A preprint archive of research papers on Algebraic Topology.

EU TMR network coordinated in Bielefeld.

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.

A calendar of upcoming and past events (workshops, colloquia, lectures) pertaining to K-Theory and its applications.

An extensive archive of pre-publication papers (preprints) on Algebraic K-Theory.

An archive of pre-publication papers (preprints) on Algebraic Topology.

Index to more than 100 articles on Algebraic Topology.

An archive of developments concerning the Novikov Conjecture and related problems in Algebraic Topology, General Topology, Geometry, Algebra, and Analysis. Maintained by Jonathan Rosenberg.

Problems in Algebraic Topology, compiled by mathematician Mark Hovey of Wesleyan University.

A widely accessible statement of the Poincaré Conjecture and its implications, with various links and references for further inquiry.

Assorted articles and minutia concerning Algebraic Surgery, assembled by Andrew Ranicki.

From Toda's book: "Composition Methods in Homotopy Groups of Spheres."

Notes and images of the Hopf map from S3 to S2.

Introductory essay by Joe Neisendorfer, University of Rochester.