Web Directory

» Algebraic K-Theory, Linear Algebraic Groups and Related Structures
   TMR Network Project. Network Coordinator: Ulf Rehmann, Bielefeld
   http://www.mathematik.uni-bielefeld.de/K+AG/

» 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
   http://www.bangor.ac.uk/~mas010/intasrep.html

» Algebraic Topology
   An encyclopedic reference containing definitions, some discussion, and an assortment of useful links to various resources concerning Algebraic Topology and K-Theory.
   http://en.wikipedia.org/wiki/Algebraic_topology

» Algebraic Topology Discussion List
   Includes information on subscribing, archives of past discussions, and links to home pages of algebraic topologists and other related resources.
   http://www.lehigh.edu/dmd1/public/www-data/algtop.html

» 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.
   http://www.math.cornell.edu/~hatcher/AT/ATpage.html

» 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 techniqu
   http://www.csi.uottawa.ca/ordal/papers/schroder/FINSURVE.html

» An Introduction to Algebraic K-theory
   An incomplete graduate textbook in Algebraic K-Theory, by Charles Weibel. Several chapters are available online.
   http://math.rutgers.edu/~weibel/Kbook.html

» 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.
   http://www.maths.gla.ac.uk/~ajb/btop.phtml

» Ext Charts
   Charts for modules over the odd-primary Steenrod Algebra, by Christian Nassau. In Postscript.
   http://www.nullhomotopie.de/charts/

» Five Talks on the Poincaré Conjecture
   Streaming video links to lectures by Prof. John Morgan filmed during a 5-day series held at Columbia University in 2003. Thurston Geometrization, and Hamilton’s ‘Ricci flow’ method, leading up to the Perelman’s proposed proof, are discussed. RealO
   http://www.math.ohio-state.edu/lectures/clemens/five_talks.html

» Higher Dimensional Group Theory
   This article by Prof. Ronald Brown discusses the advantageous application of groupoids to higher-dimensional Homotopy theory.
   http://www.bangor.ac.uk/~mas010/hdaweb2.htm

» Hopf Topology Archive
   A preprint archive of research papers on Algebraic Topology.
   ftp://hopf.math.purdue.edu/pub/hopf.html

» 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.
   http://www.math.niu.edu/~rusin/known-math/index/19-XX.html

» K-theory Calendar
   A calendar of upcoming and past events (workshops, colloquia, lectures) pertaining to K-Theory and its applications.
   http://www.math.uiuc.edu/K-theory/Calendar/

» K-theory Preprint Archives
   An extensive archive of pre-publication papers (preprints) on Algebraic K-Theory.
   http://www.math.uiuc.edu/K-theory/

» Math Front: AT Algebraic Topology
   An archive of pre-publication papers (preprints) on Algebraic Topology.
   http://front.math.ucdavis.edu/math.AT

» MathWorld
   Index to more than 100 articles on Algebraic Topology.
   http://mathworld.wolfram.com/topics/AlgebraicTopology.html

» 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.
   http://www.math.umd.edu/users/jmr/NC.html

» Open Problems in Algebraic Topology
   Problems in Algebraic Topology, compiled by mathematician Mark Hovey of Wesleyan University.
   http://claude.math.wesleyan.edu/~mhovey/problems/

» Poincaré Conjecture -- from MathWorld
   A widely accessible statement of the Poincaré Conjecture and its implications, with various links and references for further inquiry.
   http://mathworld.wolfram.com/PoincareConjecture.html

» Surgery Bits and Pieces
   Assorted articles and minutia concerning Algebraic Surgery, assembled by Andrew Ranicki.
   http://www.maths.ed.ac.uk/~aar/surgery/index.htm

» Table of the Homotopy Groups of Spheres
   From Toda's book: "Composition Methods in Homotopy Groups of Spheres."
   http://www.math.nus.edu.sg/~matwujie/homotopy_groups_sphere.html

» What is Algebraic Topology?
   Introductory essay by Joe Neisendorfer, University of Rochester.
   http://www.math.rochester.edu/people/faculty/jnei/algtop.html