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Algebraic Topology:     more books (100)

Homology theory: A first course in algebraic topology (Holden-Day series in mathematics) by Sze-Tsen Hu, 1966 Lecture Notes in Algebraic Topology (Graduate Studies in Mathematics, 35) by Paul Kirk James F. Davis, 2001-08-01 An Introduction to Algebraic Topology (Graduate Texts in Mathematics) by Joseph J. Rotman, 1988-08-17 Algebraic Topology from a Homotopical Viewpoint (Universitext) by Marcelo Aguilar, Samuel Gitler, et all 2010-11-02 Algebraic Topology: Homology and Cohomology (Dover Books on Mathematics) by Andrew H. Wallace, 2007-10-19 Algebraic Topology: An Intuitive Approach (Translations of Mathematical Monographs) by Hajime Sato, 1999-02 Algebraic and Differential Topology (Classics of Soviet Mathematics) by R. V. Gamkrelidze, 1987-03-06 Topology (Undergraduate Texts in Mathematics) by K. Jänich, 1984-01-30 A First Course in Algebraic Topology by Czes Kosniowski, 1980-10-31 Simplicial Objects in Algebraic Topology (Chicago Lectures in Mathematics) by J. P. May, 1993-01-15 Simplicial and Operad Methods in Algebraic Topology (Translations of Mathematical Monographs) by V. A. Smirnov, 2001-02-01 Topology: An Introduction to the Point-Set and Algebraic Areas by Donald W. Kahn, 1995-07-19 Basic Concepts of Algebraic Topology (Undergraduate Texts in Mathematics) by F.H. Croom, 1978-03-18 Algebraic Topology: A Student's Guide (London Mathematical Society Lecture Note Series) by J. F. Adams, 1972-06-30

lists with details

21. The Realization Space Of A -algebra A Moduli Problem In Algebraic
    The Realization Space of a algebra A Moduli Problem in algebraic topology The homotopy theory of topological spaces is often studied by appealing to algebraic data { cohomology, for example,  
    http://rdre1.inktomi.com/click?u=http://citeseer.ist.psu.edu/446662.html&y=0

22. 57: Manifolds And Cell Complexes
    very precise answers to questions about existence of maps and embeddings; they are particularly amenable to calculations in algebraic topology; they allow a  
    http://www.math.niu.edu/~rusin/known-math/index/57-XX.html
    
    Extractions: POINTERS: Texts Software Web links Selected topics here 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. 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 There are two other topology pages: Algebraic topology definitions and computations of fundamental groups, homotopy groups, homology and cohomology. This includes

23. Hopf Topology Archive, Revised Version
    algebraic topology and related areas. (~400 articles)  
    http://hopf.math.purdue.edu/
    
    Extractions: PaperSearch The Hopf Logos This archive list is current through July. Newer files may be in the proper directories but not listed on the html list. These are accessible as http://hopf.math.purdue/AuthorName Nishida Conference Pictures from Clarence Wilkerson Uploading Preprints Latest maintained by Mark Hovey. Back issues of Mark's What's New!

24. Constructive Algebraic Topology
    Constructive algebraic topology The classical ``computation'' methods in algebraic topology most often work by means of highly infinite objects and in fact +are_not+ constructive. Typical examples  
    http://rdre1.inktomi.com/click?u=http://citebase.eprints.org/cgi-bin/citations?i

25. TQFT - A New Direction In Algebraic Topology
    TQFT a new direction in algebraic topology We give an introduction for the non-expert to TQFT (Topological Quantum Field Theory), focussing especially on its role in algebraic topology. We  
    http://rdre1.inktomi.com/click?u=http://citebase.eprints.org/cgi-bin/citations?i

26. 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
    
    Extractions: 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

27. Nantes 3-7 Sept 2001
    University of Nantes, France; 37 September 2001.  
    http://www.math.sciences.univ-nantes.fr/~franjou/2001.html
    
    Extractions: September 3 - 7 , 2001 Deadline for registration: July 6, 2001. Registration is now closed Check your registration: please check that your name appears in the List of registered participants . If you do not appear on the list, although you sent us registration, please re-send the form at NCAT@math.univ-nantes.fr Scientific program The scientific program concerns main research fields in Modern Homotopy Theory: Algebraic Homotopy Theory, Unstable Modules over the Steenrod algebra, MacLane Homology, Operads, Loop space homology, Cyclic Homology, Algebraic K-theory. Algebraic Topology coming from problems of Geometric Topology, e.g. Knot Theory, Low dimensional Manifolds, Foliations, will also be included.

28. AT Algebraic Topology (Front For The Mathematics ArXiv)
    AT algebraic topology (Front for the Mathematics ArXiv) algebraic topology preprints, from the U.C. Davis front end for the xxx.lanl.gov ePrint archive, a major site for mathematics preprints  
    http://rdre1.inktomi.com/click?u=http://mathforum.org/library/view/16752.html&am

29. Algebraic Topology -- From MathWorld
    algebraic topology. The discipline of algebraic topology is popularly known as rubbersheet geometry and can also be viewed as the study of disconnectivities.  
    http://mathworld.wolfram.com/AlgebraicTopology.html
    
    Extractions: Algebraic Topology 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 A technical way of saying this is that algebraic topology is concerned with functors from the topological category of groups and homomorphisms . Here, the

30. Andrew Baker's Home Page
    University of Glasgow. algebraic topology. Publications, preprints, course information, and mathematical links.  
    http://www.maths.gla.ac.uk/~ajb/

31. Algebraic Topology - Wikipedia, The Free Encyclopedia
    algebraic topology. From Wikipedia, the free encyclopedia. algebraic topology is mappings. The problems of algebraic topology. The most  
    http://en.wikipedia.org/wiki/Algebraic_topology
    
    Extractions: edit The goal is to take topological spaces, and further categorize or classify them. An older name for the subject was combinatorial topology , implying an emphasis on how a space X was contructed from simpler ones. The basic method now applied in algebraic topology is to investigate spaces via algebraic invariants: for example by mapping them to groups , which have a great deal of manageable structure, in a way that respects the relation of homeomorphism of spaces. Two major ways in which this can be done are through fundamental groups , or more general homotopy theory , and through homology and cohomology groups. The fundamental groups give us basic information about the structure of a topological space; but they are often nonabelian and can be difficult to work with. The fundamental group of a (finite)

32. List Of Algebraic Topology Topics - Wikipedia, The Free Encyclopedia
    List of algebraic topology topics. From Wikipedia, the free encyclopedia. This is a list of algebraic topology topics, by Wikipedia page. Table of contents.  
    http://en.wikipedia.org/wiki/List_of_algebraic_topology_topics
    
    Extractions: This is a list of algebraic topology topics , by Wikipedia page. Table of contents 1 Homology (mathematics) 2 Homotopy theory 3 Further developments 4 Homological algebra ... Main article: Homology theory edit edit edit Categories Algebraic topology Topology Views Personal tools Navigation Search Toolbox What links here Related changes Special pages This page was last modified 08:27, 5 Jun 2004. All text is available under the terms of the GNU Free Documentation License (see for details).

33. 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/
    
    Extractions: 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.

34. Algebraic Topology
    Next Previous Contents algebraic topology. Andries Brouwer, aeb@cwi.nl. v1.0, 991111 Some fragments of algebraic topology. 1. Introduction. 2. Topology.  
    http://www.win.tue.nl/~aeb/at/algtop.html

35. Algebraic Topology Authors/titles Recent Submissions
    algebraic topology. Authors and titles for recent submissions. D. Thesis (in french) Subjclass Quantum Algebra; algebraic topology  
    http://arxiv.org/list/math.AT/recent

36. Stable Algebraic Topology 1945-1966, By J.P. May
    Stable algebraic topology 19451966, by JP May. This is a reasonably comprehensive treatment of the history of stable algebraic topology  
    http://www.math.uiuc.edu/K-theory/0321/
    
    Extractions: This is a reasonably comprehensive treatment of the history of stable algebraic topology during the cited period. The table of contents gives an idea of the scope and limitations of the study. The emphasis is on the evolution of ideas, but some mathematical exposition of most of the main results is given. This paper will appear in a volume on the history of topology that is being edited by Ioan James. Contents: Setting up the foundations The Eilenberg-Steenrod axioms Stable and unstable homotopy groups Spectral sequences and calculations in homology and homotopy The introduction of cobordism The route from cobordism towards K-theory Bott periodicity and K-theory The Adams spectral sequence and Hopf invariant one S-duality and the introduction of spectra Oriented cobordism and complex cobordism K-theory, cohomology, and characteristic classes Generalized homology and cohomology theories Vector fields on spheres and J(X) Further applications and refinements of K-theory Bordism and cobordism theories Further work on cobordism and its relation to K-theory High dimensional geometric topology Iterated loop space theory Algebraic K-theory and homotopical algebra The stable homotopy category The Bibliography lists over 300 items.

37. Algebraic Topology & Concurrency
    Applications of algebraic topology to computer science.  
    http://www.ipipan.gda.pl/~stefan/AlgTop/

38. 1982 Workshop On Algebraic Topology
    Workshop on algebraic topology Bellaterra, March 23 to 26, 1982. Organizing Committee J. Aguadé and M. Castellet Proceedings Workshop  
    http://mat.uab.es/bcat98/82wat.htm
    
    Extractions: A. Zabrodsky (Jerusalem) Titles of Talks (articles based on these talks can be found in the proceedings) B. Cenkl and R. Porter, Cup-i product and higher homotopies in the de Rham complex. Notes on proper homotopy theories associated with compact PL -manifolds. J. Ewing and A. Edmonds, Periodic surface diffeomorphisms which bound, bound periodically.

39. Title Details - Cambridge University Press
    Home Catalogue algebraic topology. Related Areas New titles email For updates on new titles in Pure Mathematics. algebraic topology. Allen Hatcher. £20.99.  
    http://titles.cambridge.org/catalogue.asp?isbn=0521795400

40. Index
    International Conference in algebraic topology Isle of Skye Scotland 24- 30 June 2001 Research Centre in Topology and Related Areas Department of  
    http://www.maths.abdn.ac.uk/~stc2001/
    
    Extractions: 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.

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