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         General Topology:     more books (100)
  1. A First Course in Topology: Continuity and Dimension (Student Mathematical Library) by John McCleary, 2006-04-07
  2. Algebraic Topology by Allen Hatcher, 2001-11-15
  3. Algebraic Topology by C. R. F. Maunder, 1996-06-14
  4. Tame Topology and O-minimal Structures (London Mathematical Society Lecture Note Series) by L. P. D. van den Dries, 1998-05-28
  5. Topology, Geometry and Gauge fields: Foundations (Texts in Applied Mathematics) by Gregory L. Naber, 2010-09-21
  6. Quantum Field Theory and Topology (Grundlehren der mathematischen Wissenschaften) by Albert S. Schwarz, 2010-11-02
  7. Introduction to Differential and Algebraic Topology (Texts in the Mathematical Sciences) by Yu.G. Borisovich, N.M. Bliznyakov, et all 2010-11-02
  8. A User's Guide to Algebraic Topology (Mathematics and Its Applications) by C.T. Dodson, P.E. Parker, et all 1997-01-31
  9. Geometry, Topology and Physics, Second Edition (Graduate Student Series in Physics) by Mikio Nakahara, 2003-06-04
  10. Geometry and Topology of Configuration Spaces by Edward R. Fadell, Sufian Y. Husseini, 2000-12-28
  11. Topologies on Closed and Closed Convex Sets (Mathematics and Its Applications) by Gerald Beer, 2010-11-02
  12. A Concise Course in Algebraic Topology (Chicago Lectures in Mathematics) by J. P. May, 1999-09-01
  13. Real Variables with Basic Metric Space Topology by Robert B. Ash, 2009-05-21
  14. Computational Topology by Herbert Edelsbrunner and John L. Harer, 2009-12-08

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122. Index
Lorca, Murcia, Spain; 1014 June 2003.
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 Benicŕssim (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

The deadline for submitting papers to the proceedings of the conference is November 30th, 2003
Updated 01/06/03

123. Seymour Lipschutz, ?Schaum's Outline Of General Topology? ( Link)
Download Free eBookSeymour Lipschutz, ?Schaum s Outline of General Topology? ( link) Free chm, pdf ebooks rapidshare
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Seymour Lipschutz, ?Schaum's Outline of General Topology? ( link)
ISBN: 0070379882
Category: Technical
Tag: Science/Engineering
views since 2007-06-07, updated at 2009-08-19. The poster is not available.
Seymour Lipschutz, ?Schaum's Outline of General Topology?
With more than 30 million copies sold, Schaum's are the most popular study guide on the planet. Mathematics students around the world turn to this clear and complete guide to general topology for its through introduction to the subject, including easy-to-follow explanations of topology of the line and plane and topological spaces. With 650 fully solved problems and hundreds more to solve on your own (with answers supplied), this guide can help you spend less time studying while you make better grades!

Thanks a lot.
Does anybody have e-books on mathematical nonlinear control?
I search for them for a long time.

124. BTop: Seminars, Etc
A list maintained at the British Topology site.
Topology seminars and other regular activities
Within Europe
Outwith Europe
This page is maintained by Andy Baker (updated 11/10/2010)
British Topology Home Page

125. Handbook Of The History Of General Topology | Full And Free Download Rapidshare
Aug 7, 2010 Handbook of the History of General TopologyPublisher Springer 1998 PDF 424 pages ISBN 0792350308 13MbThis book is the second

126. Rob Kirby's Home Page
Geometric topology. With the book Problems in Low-Dimensional Topology .
Rob Kirby


Department of Mathematics
University of California
Berkeley, CA 94720-3840
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)

127. Any Good Problem Book On General Topology
Any good problem book on General Topology Topology Geometry discussion.

128. Allen Hatcher's Homepage
Geometric topology. With textbooks on Algebraic Topology, Vector Bundles and K-theory, and 3-manifolds.
Allen Hatcher
Office: 553 Malott Hall
Phone: (607)-255-4091
Book Projects: Course Notes: Papers Other Things: Book Projects
Algebraic Topology
This is the first in a planned series of three textbooks in algebraic topology having the goal of covering all the basics while remaining readable by newcomers seeing the subject for the first time. The first book contains the basic core material along with a number of optional topics of a relatively elementary nature. The second and third books are only partially written - see below. To find out more about the first book or to download it in electronic form, follow this link to the download page
Vector Bundles and K-Theory
The intention is for this to be a fairly short book focusing on topological K-theory and containing also the necessary background material on vector bundles and characteristic classes. For further information, and to download the part of the book that is written, go to

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

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

131. An Introduction To Algebraic K-theory
An incomplete graduate textbook in Algebraic K-Theory, by Charles Weibel. Several chapters are available online.
``The K-book: An introduction to algebraic K-theory''
  • 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
  • 132. Surgery Bits And Pieces
    Assorted articles and minutia concerning Algebraic Surgery, assembled by Andrew Ranicki.
    Surgery Bits and Pieces
    Biographical material
    Surgery, algebraic and otherwise
    Books, papers, theses, notes etc.

    133. Poincaré Conjecture -- From Wolfram MathWorld
    A widely accessible statement of the Poincar Conjecture and its implications, with various links and references for further inquiry.
    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."

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

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

    136. "The Optiverse" And Other Sphere Eversions
    Article by John M. Sullivan on sphere eversions, with numerous illustrations.
    "The Optiverse" and Other Sphere Eversions
    John M. Sullivan
    Dept. of Mathematics Univ. of Illinois, Urbana
    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: (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.

    137. Topology
    Set theoretic and general topology research group members.
    Set Theory and General Topology
    Research staff
    • Ákos Császár
    • Ervin Deák
    Associated members
    You can find more information on the Set Theory and Topology Research Group (including the members from Eötvös University)

    138. Aberdeen Topology Group
    Topology Centre.
    University of Aberdeen Institute of Mathematics Log in Research
    Aberdeen Topology Group
    Academic Staff
    Postgraduate students
    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.

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