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         Algebraic Topology:     more books (100)
  1. An Introduction to Algebraic Topology (Graduate Texts in Mathematics) by Joseph J. Rotman, 1998-07-22
  2. Algebraic Topology by Edwin H. Spanier, 1994-12-06
  3. Differential Forms in Algebraic Topology (Graduate Texts in Mathematics) by Raoul Bott, Loring W. Tu, 1995-04-21
  4. Essential Topology (Springer Undergraduate Mathematics Series) by Martin D. Crossley, 2007-11-20
  5. Elements of Algebraic Topology by James R. Munkres, 1993-12-01
  6. Algebraic Topology: Homology and Cohomology (Dover Books on Mathematics) by Andrew H. Wallace, 2007-10-19
  7. Lectures on Algebraic Topology (Classics in Mathematics) by Albrecht Dold, A. Dold, 1995-02-15
  8. Topology: An Introduction to the Point-Set and Algebraic Areas by Donald W. Kahn, 1995-07-19
  9. Simplicial Objects in Algebraic Topology (Chicago Lectures in Mathematics) by J. P. May, 1993-01-15
  10. Topology and Geometry (Graduate Texts in Mathematics) by Glen E. Bredon, 1997-10-17
  11. Algebraic Topology from a Homotopical Viewpoint by Marcelo Aguilar, Samuel Gitler, et all 2002-06-13
  12. Lectures on algebraic topology (Mathematics lecture note series) by Marvin J Greenberg, 1967
  13. Algebraic Topology: A Student's Guide (London Mathematical Society Lecture Note Series) by J. F. Adams, 1972-06-30
  14. Homology Theory: An Introduction to Algebraic Topology (Graduate Texts in Mathematics) by James W. Vick, 1994-01-07

21. Geometry And Topology
A fully refereed international journal dealing with all aspects of geometry and topology and their applications. Full text free. Articles are
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

22. The Geometry Junkyard Geometric Topology
Geometric Topology This area of mathematics is about the assignment of geometric Algebraic surface advent calendar 2002. Algebraic surface
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

23. 57: Manifolds And Cell Complexes
There are two other topology pages. algebraic topology definitions and computations of fundamental groups, homotopy groups, homology and cohomology.
http://www.math.niu.edu/~rusin/known-math/index/57-XX.html
Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields
POINTERS: Texts Software Web links Selected topics here
57: Manifolds and cell complexes
Introduction
Manifolds are spaces like the sphere which look locally like Euclidean space. In particular, these are the spaces in which we can discuss (locally-)linear maps, and the spaces in which to discuss smoothness. They include familiar surfaces. Cell complexes are spaces made of pieces which are part of Euclidean space, generalizing polyhedra. These types of spaces admit very precise answers to questions about existence of maps and embeddings; they are particularly amenable to calculations in algebraic topology; they allow a careful distinction of various notions of equivalence. These are the most classic spaces on which groups of transformations act. This is also the setting for knot theory.
History
See the article on Topology at St Andrews. Perhaps it is easiest to use classic literature to understand differential topology: Flatland ; here are two Backup sites and the home page for Project Gutenberg
Applications and related fields
There are two other topology pages: Algebraic topology definitions and computations of fundamental groups, homotopy groups, homology and cohomology. This includes

24. Mathematics Archives - Topics In Mathematics - Topology
algebraic topology Discussion List ADD. KEYWORDS Newsgroup, meetings, people
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

25. ArXiv.org E-Print Archive
Mathematics (math new, recent, abs, find) includes (see detailed description) Algebraic Geometry; algebraic topology; Analysis of PDEs;
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

26. Algebraic Topology -- From MathWorld
algebraic topology is the study of intrinsic qualitative aspects of spatial The discipline of algebraic topology is popularly known as rubbersheet
http://mathworld.wolfram.com/AlgebraicTopology.html
INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index
DESTINATIONS About MathWorld About the Author Headline News ... Random Entry
CONTACT Contribute an Entry Send a Message to the Team
MATHWORLD - IN PRINT Order book from Amazon Topology Algebraic Topology MathWorld Contributors ... Derwent Algebraic Topology Algebraic topology is the study of intrinsic qualitative aspects of spatial objects (e.g., surfaces spheres tori circles ... links , configuration spaces, etc.) that remain invariant under both-directions continuous one-to-one homeomorphic ) transformations. The discipline of algebraic topology is popularly known as "rubber-sheet geometry" and can also be viewed as the study of disconnectivities . Algebraic topology has a great deal of mathematical machinery for studying different kinds of hole structures, and it gets the prefix "algebraic" since many hole structures are represented best by algebraic objects like groups and rings Algebraic topology originated with combinatorial topology , but went beyond it probably for the first time in the 1930s when Cech cohomology was developed.

27. Jeremy Rickard's Home Page
University of Bristol. Modular representation theory of finite groups and related areas of algebraic topology; Homological algebra; Representation theory of finitedimensional algebras. Publications, resources.
http://www.maths.bris.ac.uk/~majcr/
Jeremy Rickard's Home Page
Professor of Pure Mathematics
Office: 3.4
Tel: (0117) 928 7989
Fax: (0117) 928 7999
School of Mathematics
University of Bristol
University Walk
Bristol BS8 1TW
UK
Research interests
  • Modular representation theory of finite groups and related areas of algebraic topology. Homological algebra. Representation theory of finite-dimensional algebras.
Teaching 2003-2004

28. Topology Atlas
A multipurpose center for electronic distribution of information related to topology.
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

29. Algebraic Topology
Geometric topology. With textbooks on algebraic topology, Vector Bundles and Ktheory, and 3-manifolds.
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

30. Algebraic Topology Discussion List
algebraic topology Discussion List. This list is maintained by Don Davis.
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

31. Programming Symbolic Computation Team Research Of The University Of La Rioja
Department of Mathematics and Computer Science, University of La Rioja, Logro±o, Spain. Research has been focused on the design, specification and construction of symbolic computation systems for algebraic topology.
http://www.unirioja.es/dptos/dmc/psycotrip
P rogramming and Sy mbolic Co mputation T eam O f U niversidad de La R ioja http://www.unirioja.es/ We are the Programming and Symbolic Computation Team, at the Department of Mathematics and Computer Science of the University of La Rioja Symbolic computation systems are an important tool for the scientific calculation and discovery. Apart from well-known commercial products (Mathematica, Maple,…), there exists a great variety of systems developed in the academic context, without many connections with the current trends in Software Engineering. Our previous experience has been focused on the design, specification and construction of symbolic computation systems for Algebraic Topology. In particular, our main research area has been the formal analysis of one of these tools, namely, the EAT system. At this moment, we are involved in a more holistic approach, one that deals with software verification, conceptual modelling and Internet-based services; that is, to devise algebraic manipulation systems in the Software Engineering framework. Our objective is then to make progress towards a methodology for the analysis, specification, development, verification and maintenance of symbolic computation systems. Research Areas Members Last Papers

32. Andrew Baker's Home Page
University of Glasgow. algebraic topology. Publications, preprints, course information, and mathematical links.
http://www.maths.gla.ac.uk/~ajb/
Andrew Baker's Home Page
I am a member of the Department of Mathematics of the University of Glasgow . Most of the links below are mathematical and especially related to Algebraic Topology which is my main research area. More mathematical links can be found on my Department's internet intranet ) site.
If you are interested in doing a PhD on Algebraic Topology in Glasgow, have a look at the information on postgraduate degrees in my department
I maintain the
British Topology Home Page

The Hopf map Richard Huish Home Page (my old school's web site)
Mathematical events I was involved in organising
Workshop on structured ring spectra and their applications
21-25 January 2002 Workshop on Structured Ring Spectra
20-24 September 2004
Moonshine - the First Quarter Century and Beyond

5-13 July 2004
Some photographs taken by Chris Eilbeck during the workshop
19th British Topology Meeting
13-14th September 2004
Mathematical publications and preprints

33. 2002BCAT
Institut d'Estudis Catalans, Barcelona, Spain; 26 July 2002.
http://www.crm.es/Conferences/0102/2002Bcat.htm
2002 Barcelona Conference on Algebraic Topology.
A EuroConference
Dates: July 2 to 6, 2002
Place: I nstitut d'Estudis Catalans, Barcelona
Scientific Committee: Jaume Aguadé (UAB)
Carles Broto (UAB)
Carles Casacuberta (UB)
Haynes Miller (MIT)
Keynote speakers: Ib Madsen (University of Aarhus)
Haynes Miller (MIT)
Graeme Segal (University of Oslo)
Main speakers: Pete Bousfield (University of Illinois at Chicago) John Greenlees (University of Scheffield) Mark Hovey (Wesleyan University) Ran Levi (University of Aberdeen) John Rognes (University of Oslo) Antonio Viruel (Universidad de Málaga) Grants The CRM can offer a limited number of grants to young researchers covering the registration fee and/or accommodation. The deadline for application is March 29, 2002. VERY IMPORTANT If you apply for Financial Support please do the following steps:
  • Send the Application Form for Financial Support before the deadline (please do not pay the Registration fee). Once you receive the resolution on your Financial Application (April 15 approximately) you will be asked to send the Registration Form and the Payment Form (if necessary).
  • 34. Page Moved
    Harvard University. Elliptic Curves, Algebraic Geometry, Class Field Theory and algebraic topology.
    http://www.people.fas.harvard.edu/~apap/
    This page has moved to http://www.math.harvard.edu/~apap

    35. Category:Algebraic Topology - Wikipedia, The Free Encyclopedia
    algebraic topology is a branch of mathematics in which tools from abstract algebra are For more information, see the article about algebraic topology.
    http://en.wikipedia.org/wiki/Category:Algebraic_topology
    Category:Algebraic topology
    From Wikipedia, the free encyclopedia.
    Wikimedia Commons has more media related to: Algebraic topology Algebraic topology is a branch of mathematics in which tools from abstract algebra are used to study topological spaces
    For more information, see the article about Algebraic topology
    Subcategories
    There are 6 subcategories to this category.
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    Articles in category "Algebraic topology"
    There are 100 articles in this category.
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    36. Algebraic Topology - Cambridge University Press
    four basic firstyear graduate courses is in the subject of algebraic topology. This introductory textbook in algebraic topology is suitable for use in
    http://www.cambridge.org/uk/catalogue/catalogue.asp?isbn=0521795400

    37. Index
    The emphasis of the conference is on categorical decomposition techniques, especially calculus of functors and homology decompositions of classifying spaces, but the conference is intended to have a broad scope with talks on a variety of topics of current interest in topology. Isle of Skye, Scotland; 24 30 June 2001.
    http://maths.abdn.ac.uk/~stc2001/
    International Conference in Algebraic Topology
    Isle of Skye - Scotland
    24- 30 June 2001
    Research Centre in Topology and Related Areas

    Department of Mathematical Sciences

    University of Aberdeen

    An international Algebraic Topology conference is planned for the last week of June 2001 (June 24 - 30, 2001). The conference will take place on the Isle of Skye - a scenic island off the west coast of Scotland. The emphasis of the conference is on categorical decomposition techniques, especially calculus of functors and homology decompositions of classifying spaces. But the conference is intended to have a broad scope, with talks on a variety of topics of current interest in topology. A London Mathematical Society invited lecture series will take place in Aberdeen the week before the conference (June 18 - 23, 2001). Prof. T. Goodwillie will give a series of ten lectures on calculus of functors. Participants who wish to attend both meetings are encouraged to do so and will enjoy reduced registration fees. The following mathematicians have agreed to attend and give a plenary talk.

    38. Adams Memorial Symposium On Algebraic Topology Proceedings - Cambridge Universit
    J. Frank Adams had a profound influence on algebraic topology, and his works The International Symposium on algebraic topology held in Manchester during
    http://www.cambridge.org/uk/catalogue/catalogue.asp?isbn=0521421535

    39. Algebraic Topology Authors/titles Recent Submissions
    Subjclass Differential Geometry; algebraic topology Subj-class Algebraic Geometry; Geometric Topology; algebraic topology; Combinatorics
    http://arxiv.org/list/math.AT/recent
    Algebraic Topology
    Authors and titles for recent submissions
  • Thu, 15 Sep 2005 Wed, 14 Sep 2005 Mon, 12 Sep 2005 Fri, 9 Sep 2005 ... Mon, 5 Sep 2005
  • Thu, 15 Sep 2005
    math.AT/0509293 abs ps pdf other
    Title: Lie elements in pre-Lie algebras, trees and cohomology operations
    Authors: Martin Markl
    Comments: 20 pages, LaTeX 2.09
    Subj-class: Algebraic Topology; K-Theory and Homology
    Wed, 14 Sep 2005
    math.AT/0509269 abs ps pdf other
    Title: Banach Algebras and Rational Homotopy Theory
    Authors: Gregory Lupton N. Christopher Phillips Claude L. Schochet Samuel B. Smith
    Comments: 28 pages, AMSLaTeX2e, uses xypic
    Subj-class: Algebraic Topology; Functional Analysis
    MSC-class:
    math.AT/0509268 abs pdf
    Title: Quasi-commutative cochains in algebraic topology
    Authors: Max Karoubi
    Comments: 53 pages
    Subj-class: Algebraic Topology; K-Theory and Homology MSC-class:
    hep-th/0509064 abs ps pdf other
    Title: Families index theorem in supersymmetric WZW model and twisted K-theory: The SU(2) case Authors: Jouko Mickelsson Comments: 24 pages (AmsTex); greatly extended from the conference talk at Vietri sul Mare (March 2005) given by the first author Subj-class: High Energy Physics - Theory; Algebraic Topology

    40. Lazarev, Andrey
    University of Bristol. algebraic topology; Ktheory; Homological Algebra and Deformation Theory. Publications, teaching resources.
    http://www.maths.bris.ac.uk/~maxal/
    Andrey Lazarev's Home Page
    Lecturer in Pure Mathematics
    Office: 3.13 Tel. (0117)9287997
    E-mail address: A.Lazarev@bristol.ac.uk
    School of Mathematics, University of Bristol
    Clifton, Bristol, AVON, BS8 1TW, UK
    Research interests
    • Algebraic Topology. K-theory Homological Algebra and Deformation Theory
    Recent publications
    PhD Projects
    Teaching
    Mathematics 42700: Galois theory
  • Lecture notes are here Problem Sheets:
  • Mathematics 1AM/1AS: Linear Algebra
    • Lecture notes are here Problem Sheets: Solutions:
    Mathematics Publishers
  • AMS
    MAA
    Springer
    Academic Press ...
    SIAM
  • Back to Pure Group Home Page.
    Back to Department of Mathematics Home Page.

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