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Algebraic Topology
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19 sites in Algebraic Topology
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Notes and images of the Hopf map from S3 to S2.
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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.
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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.
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An encyclopedic reference containing definitions, some discussion, and an assortment of useful links to various resources concerning Algebraic Topology and K-Theory.
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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.
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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.
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Introductory essay by Joe Neisendorfer, University of Rochester.
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An archive of developments concerning the Novikov Conjecture and related problems in Algebraic Topology, General Topology, Geometry, Algebra, and Analysis. Maintained by Jonathan Rosenberg.
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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
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This article by Prof. Ronald Brown discusses the advantageous application of groupoids to higher-dimensional Homotopy theory.
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Problems in Algebraic Topology, compiled by mathematician Mark Hovey of Wesleyan University.
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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.
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An incomplete graduate textbook in Algebraic K-Theory, by Charles Weibel. Several chapters are available online.
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A preprint archive of research papers on Algebraic Topology.
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Includes information on subscribing, archives of past discussions, and links to home pages of algebraic topologists and other related resources.
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Assorted articles and minutia concerning Algebraic Surgery, assembled by Andrew Ranicki.
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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.
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EU TMR network coordinated in Bielefeld.
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Past and future events, maintained in conjunction with the K-theory Archive at UIUC.
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