Algebraic Topology Topology Math

Algebraic Topology

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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.
  
• - Notes and images of the Hopf map from S3 to S2.
  
• - A widely accessible statement of the Poincaré Conjecture and its implications, with various links and references for further inquiry.
  
• - An extensive archive of pre-publication papers (preprints) on Algebraic K-Theory.
  
• - TMR Network Project. Network Coordinator: Ulf Rehmann, Bielefeld
  
• - An incomplete graduate textbook in Algebraic K-Theory, by Charles Weibel. Several chapters are available online.
  
• - Includes information on subscribing, archives of past discussions, and links to home pages of algebraic topologists and other related resources.
  
• - Assorted articles and minutia concerning Algebraic Surgery, assembled by Andrew Ranicki.
  
• - A calendar of upcoming and past events (workshops, colloquia, lectures) pertaining to K-Theory and its applications.
  
• - Introductory essay by Joe Neisendorfer, University of Rochester.
  
• - 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
  
• - Ext Charts for modules over the odd-primary Steenrod Algebra, by Christian Nassau.
  
• - This article by Prof. Ronald Brown discusses the advantageous application of groupoids to higher-dimensional Homotopy theory.
  
• - 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.
  
• - A preprint archive of research papers on Algebraic Topology.
  
• - Problems in Algebraic Topology, compiled by mathematician Mark Hovey of Wesleyan University.
  
• - From Toda's book: "Composition Methods in Homotopy Groups of Spheres."
  
• - 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.
  
• - 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.
  
• - 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.
  
• - 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.
  
• - An all-electronic, peer-reviewed, international journal of leading-edge research in Homological and Homotopical Algebra, K-Theory, and applications.
  
• - An archive of developments concerning the Novikov Conjecture and related problems in Algebraic Topology, General Topology, Geometry, Algebra, and Analysis. Maintained by Jonathan Rosenberg.
  
• - Index to more than 100 articles on Algebraic Topology.
  
• - An archive of pre-publication papers (preprints) on Algebraic Topology.
  
• - 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
  
• - 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
  
• - Algebraic Topology text published by the American Mathematical Society (AMS), and available as a free download in PDF format. © 1942 by Solomon Lefschetz, 389 pp.
  
  

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