81. Mathematics And Computer Science - Denison University February 21-22, 2003. Hosted by Denison University, Granville, Ohio, USA. http://www.denison.edu/mathsci/events/topology03/

Support Denison! Offices Directory MyDenison ... About Math and CS Courses Computer Science Course catalog Schedule of classes Recommended Schedules Careers Mathematics Course catalog Schedule of classes Planned Course Offerings Recommended Schedules ... Faculty and Staff Students and Alumni Students Alumni Events Newsletter ... Upsilon Pi Epsilon Research Student Research Summer Research Projects Honors Theses Faculty Research Computer Facilities Labs Beowulf Cluster Opportunities Summer Opportunities Post-Denison Opportunities Related Links George R. Stibitz ... Contact Us Gateways Prospective Students Students Parents Alumni ... Guests

82. Summer Conference On Topology And Its Applications University of Cape Town, South Africa; 59 July 2004. http://www.mth.uct.ac.za/Conferences/Topology/

83. Index Lorca, Murcia, Spain; 1014 June 2003. http://www.dmae.upct.es/topology/

Introduction Scientific Committee Organizing Committee Participants ... Address V Iberoamerican Conference on General Topology and its Applications June 10-14, 2003 in Lorca, Murcia, Spain Welcome to the web site of the V Iberoamerican Conference on General Topology and its Applications, which will take place from 10 June 2003, through 14 June, in Lorca, Murcia, Spain. Previous meetings have been held in Benicàssim (Spain), Morelia (Mexico), Gandia (Spain) and Coimbra (Portugal). The 5th Iberoamerican conference on topology and its applications is now finished. Thank you for your assistance Next Iberoamerican conference (CITA-2005) will be held in Puebla (Mexico) and the current e-mail address is atamariz@servidor.unam.mx The deadline for submitting papers to the proceedings of the conference is November 30th, 2003 Updated 01/06/03

84. BTop: Seminars, Etc A list maintained at the British topology site. http://www.maths.gla.ac.uk/~ajb/btop/bt-sem-act.html

Topology seminars and other regular activities Within Europe British Topology Meetings General and Computational Topology in the U.K. Durham Topology Seminars K ... Scottish Topology Seminars (University of Edinburgh) Edinburgh Mathematical Physics Group The William Rowan Hamilton Geometry and Topology Workshop Sheffield Topology Group Transpennine Topology Triangle ... Yorkshire Differential Geometry Days (2000/01) Outwith Europe Cascade Topology Seminar Midwest Topology Seminar National University of Singapore Topology and Geometry Seminar This page is maintained by Andy Baker a.baker@maths.gla.ac.uk (updated 11/10/2010) British Topology Home Page

85. Rob Kirby's Home Page Geometric topology. With the book Problems in Low-Dimensional topology . http://www.math.berkeley.edu/~kirby/

Rob Kirby Phone Fax E-mail kirby@math.berkeley.edu Department of Mathematics University of California Berkeley, CA 94720-3840 USA Math 141 Comparative Prices of Math Journals Comparative Prices of Math Journals, Updated Jan. 2000. Fleeced Stephen Smale: The Mathematician Who Broke the Dimension Barrier Conversations about mathematics Joan T. McKay, John T. McKay, and J. T. McKay Sexism in Mathematics ? Problems in Low-Dimensional Topology (380 pages) The above file is distributed in PostScript format because of the large amount of graphics involved. Akbulut's corks and h-cobordisms of smooth, simply connected 4-manifolds A survey of 4-manifolds through the eyes of surgery (w. Larry Taylor) Canonical framings for 3-manifolds (w. Paul Melvin) The E_8-manifold, singular fibers and handlebody decompositions (w. Paul Melvin) Constructing symplectic forms on 4-manifolds which vanish on circles. (w. David Gay) Local surgery formulas for quantum invariants and the Arf invariant. (w. Paul Melvin) Constructing Lefschetz-type fibrations on 4-manifolds. (w. David Gay)

86. Topology Set theoretic and general topology research group members. http://www.math-inst.hu/staff/topology.html

Set Theory and General Topology Research staff István Juhász , head of research division Márton Elekes Miklós Erdélyi Szabó Zsigmond Nagy Lajos Soukup ... Gábor Sági Retired Ákos Császár Ervin Deák Associated members Mátyás Bognár László Csirmaz András Hajnal Tamás Keleti Endre Makai ... Zoltán Szentmiklóssy You can find more information on the Set Theory and Topology Research Group (including the members from Eötvös University)

87. Aberdeen Topology Group topology Centre. http://www.maths.abdn.ac.uk/research/topology.php

University of Aberdeen Institute of Mathematics Log in Research Home About the department Contact details Research ... University Webmail Research Topology Algebraic Geometry Algebra Differential Geometry and Relativity ... Funcational Analysis Aberdeen Topology Group Members Academic Staff Dr Jarek Kedra Prof Ran Levi Dr Assaf Libman Dr Stephen Theriault ... Prof Michael Weiss Postdocs Dr Rui Reis Postgraduate students Ayse Borat David Miller Nora Seeliger Research themes Manifold topology, automorphisms of manifolds (Kedra, Weiss, Reis, Miller, Borat). In Kedra's research, the manifolds typically carry additional geometric structures such as symplectic structures or a volume form. In his current research, discrete subgroups of automorphism groups of symplectic manifolds have a special place. He employs geometric tools like metrics on groups of smooth automorphisms or quasi-homomorphisms on such groups. Weiss' expertise is mainly in the high-dimensional theory, specifically in classifying automorphisms of high-dimensional manifolds which are homotopic to the identity. But in his recent collaboration with Madsen, Galatius and Tillmann, this background proved very valuable in resolving a deep question about automorphisms of smooth 2-manifolds, the Mumford conjecture. Currently Weiss works with Reis on a project which concerns the rational cohomology of diffeomorphism groups of disks and spheres and relations with singularity theory. Homotopy theory of fusion systems and homotopy theory of compact Lie groups (Levi, Libman, Seeliger). The homotopy theory of fusion systems is a framework for understanding the omotopy and homology behaviour "at a prime p" of the classifying space BG of a finite or compact Lie group G, ainly in terms of the fusion system of G (i.e. the collection of its p-subgroups and homomorphisms between these nduced by restrictions of inner automorphisms of G). One of the high points of the theory is the concept of a "p-local finite group", and more generally a "p-local compact group" due to Broto, Levi and Oliver. This is an abstraction of the combinatorial and categorical properties of fusion systems which does away with the ambient group G. Many of the homotopy properties of BG at the prime p depend only on the p-local group determined by G. Fusion systems also play an important role in the representation theory of finite groups, and there are already many known connections between the algebraic and topological aspects of the theory.

88. Fixed Point Theory On The Web Publications, meetings, mailing list, bibliography. http://www.drkhamsi.com/fpt/

89. Cantor Set And Function Introduction to the Cantor discontinnuum. http://www.cut-the-knot.org/do_you_know/cantor.shtml

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

91. 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 Calendar Instructions To get your K-theory event listed here and/or sent out to the K-theory preprint archives mailing list, send email to Dan Grayson Related sites Midwest Topology Seminar The future , November 1 - 5, 2010, K-Theory, C*-Algebras and Index Theory Los Angeles , March 22 - 25, 2011, Conference on K-theory and motives , dedicated to Andrei Suslin's 60th birthday. The past Bonn , September 6 - 10, 2010, Geometric aspects of motivic homotopy theory Buenos Aires , July 26-August 6, 2010, NCG School: Topics in Non Commutative Geometry Barcelona , July 12 - 22, 2010, Regulators III St. Petersburg , June 25 - 29, 2010, Algebraic Geometry, Algebraic K-theory, and Motives , dedicated to Andrei Suslin's 60th birthday. Lens , June 14 - 18, 2010, Linear Algebraic Groups and Quadratic Forms: Patching, Involutions and Buildings , May 7 - 8, 2010, Thirteenth NRW Topology Meeting Ottawa , March 26 - 28, 2010, Torsors, Lie algebras and Galois cohomology Columbus , November 7 - 8, 2009, Algebraic Cycles III: a follow-up workshop Mainz , October 29 - 30, 2009, Pfister forms , October 8 - 10, 2009, a conference on Combinatorial structures in algebra and topology Loen, Norway

92. 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

``The K-book: An introduction to algebraic K-theory'' by Charles Weibel (a graduate textbook in progress) Introduction here . (These are .dvi files) Chapter I : Projective Modules and Vector Bundles Here is the corresponding .dvi file Last major update March 1997. Minor updates July 2000, Sept. 2004, June 2005, May 2007, November 2008. 1. Free and stably free modules; p.1 2. Projective modules; p.6 3. The Picard group of a ring; p.15 4. Topological vector bundles and Chern classes; p.26 5. Algebraic vector bundles; p.38 Chapter II : The Grothendieck group K_0 (101 pp.) Here is the corresponding .dvi file Last major updates Dec. 2003 (sec.6, 7, 9), July 2004 (sec.2, 7, App.). Minor updates Sept. 2004, June 2005 (sec.3), August 2006 (Burnside ring), Jan 2007 (compatibility with Chapter V). 1. group completion of a monoid; p.1 2. K_0 of a ring; p.5 3. K(X) of a topological space; p.17 Lambda and Adams operations; p.24 5. K_0 of a symmetric monoidal category; p.37 6. K_0 of an abelian category; p.45 7. K_0 of an exact category; p.59

93. 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

Surgery Bits and Pieces Biographical material Photos Surgery, algebraic and otherwise Books, papers, theses, notes etc.

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

Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... closed three-manifold is homeomorphic to the three-sphere (in a topologist's sense) , where a three-sphere is simply a generalization of the usual sphere to one dimension compact manifold is homotopy -equivalent to the -sphere iff it is homeomorphic to the sphere . The generalized statement reduces to the original conjecture for topology of manifolds Whitehead link ) to his own theorem. The case of the generalized conjecture is trivial, the case is classical (and was known to 19th century mathematicians), (the original conjecture) appears to have been proved by recent work by G. Perelman (although the proof has not yet been fully verified), was proved by Freedman (1982) (for which he was awarded the 1986 Fields medal was demonstrated by Zeeman (1961), was established by Stallings (1962), and was shown by Smale in 1961 (although Smale subsequently extended his proof to include all The Clay Mathematics Institute included the conjecture on its list of $1 million prize problems. In April 2002, M. J. Dunwoody produced a five-page paper that purports to prove the conjecture. However, Dunwoody's manuscript was quickly found to be fundamentally flawed (Weisstein 2002). A much more promising result has been reported by Perelman (2002, 2003; Robinson 2003). Perelman's work appears to establish a more general result known as the Thurston's geometrization conjecture , from which the Poincaré conjecture immediately follows (Weisstein 2003). Mathematicians familiar with Perelman's work describe it as well thought-out and expect that it will be difficult to locate any substantial mistakes (Robinson 2003, Collins 2004). In fact, Collins (2004) goes so far as to state, "everyone expects [that] Perelman's proof is correct."

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

charts Christian Nassau Navigation main projects secfg novikov ... files Cohomology charts All of these charts date back from around 2000, so if you're looking for new stuff you will probably be disappointed here. 2-primary stuff Description data 30 d/p 70 d/p pan The Sphere tar ps ps ps Ceta Cofibre of eta tar ps ps ps Cnu Cofibre of nu tar ps ps ps Csigma Cofibre of sigma tar ps ps ps An A-Module structure on A(1) tar ps ps ps An A-Module structure on A(2) tar ps ps ps ... ps Double of A1 tar ps ps ps quest Questionmark complex tar ps ps ps Image of doubling map tar ps ps ps tmf Topological modular forms tar ps ps ps tmf-hur Algebraic tmf Hurewicz image tar ps ps ps Here's a big image that shows Ext up to dimension 210. There's also a page that shows timing information for the computation of the resolution, some awkward datafiles for root invariants the algebraic tmf-based Hurewicz map , and There is also a telephone-book-like-thing ahss.dvi.gz , with sources ahss.tex.gz

96. The Hopf Fibration Notes and images of the Hopf map from S3 to S2. http://www.mathematik.uni-bielefeld.de/birep/top/hopf/hopf-fib.htm

97. "The Optiverse" And Other Sphere Eversions Article by John M. Sullivan on sphere eversions, with numerous illustrations. http://torus.math.uiuc.edu/jms/Papers/isama/

"The Optiverse" and Other Sphere Eversions John M. Sullivan Dept. of Mathematics Univ. of Illinois, Urbana jms@math.uiuc.edu For decades, the sphere eversion has been a classic subject for mathematical visualization. Our 1998 video " The Optiverse " shows geometrically optimal eversions created by minimizing elastic bending energy. This paper contrasts these minimax eversions with earlier ones, including those by Morin, Phillips, Max, and Thurston. Our minimax eversions were automatically generated by flowing downhill in energy using Brakke's Evolver. This paper, "The Optiverse" and Other Sphere Eversions , is available here in HTML in two versions: , and color (The color version was formatted by Slavik Jablan for his online journal VisMath, which is available from the US or from Yugoslavia A printable version (typeset in LaTeX) is available (in many formats) as ArXiv e-print math.GT/9905020 An updated LaTeX version (with a few minor corrections) was prepared for publication by Springer in the proceedings of the Sep'00 Maubeuge Colloquium on Math and Art. It is now available here as a PDF file . This version has the highest-resolution images. The book Mathematics and Art: Mathematical Visualization in Art and Education , edited by Claude P. Bruter, will be published in June 2002.

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