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

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

23. Hopf Topology Archive, Revised Version algebraic topology and related areas. (~400 articles) http://hopf.math.purdue.edu/

Hopf Topology Archive Welcome to the Hopf Topology Archive! Hopf Author/Title Search: enter author or title keyword into box below. PaperSearch The Hopf Logos The Hopf Archive, month by month listing. CDROM of current Hopf Archive (April 4, 2002) (650MB ) 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 <- usually last names of authors. If you have a submission that has not been announced or posted and some time has elapsed, please email Mark and Clarence (but please try the "Reload" button on your browser first. Thanks, Clarence) Hopf has been upgraded to faster CPU and disk. Hope it helps the service. Also, HTTP uploading (http://hopf.math.purdue.edu/upload.php) has been added. Clarence What's New! Nishida Conference Pictures from Prof. V. Tsukiyama,Shimane U. 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

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

http://www.math.sciences.univ-nantes.fr/~franjou/2001.html En francais last modified: July 19, 2001 UMR 6629 G.D.R.E.1110 Algebraic Topology Conference University of Nantes 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 Get updated information http://www.math.sciences.univ-nantes.fr/~franjou/2001pratique.html Scientific program Schedule of talks List of registered participants ... Maps 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. The Program will contain one hour keynote talks by invited speakers, three lectures on Knot Invariants

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

INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index ABOUT THIS SITE About MathWorld About the Author DESTINATIONS What's New MathWorld Headline News Random Entry ... Live 3D Graphics CONTACT Email Comments Contribute! Sign the Guestbook MATHWORLD - IN PRINT Order book from Amazon Topology Algebraic Topology 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/

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 list of possible topics and the general information on postgraduate degrees in my department I maintain the British Topology Home Page The Hopf map I was involved in running the Workshop on structured ring spectra and their applications 21-25 January 2002 Richard Huish Home Page (my old school's web site) Mathematical events I am involved in organising this year Moonshine - the First Quarter Century and Beyond 5 to 15 July 2004 19th British Topology Meeting 13-14th September 2004 Workshop on Structured Ring Spectra 20-24 September 2004 Mathematical publications and preprints Complete list of publications and preprints (pdf format) Publications, preprints and written versions of talks available for downloading

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

Algebraic topology From Wikipedia, the free encyclopedia. Algebraic topology is a branch of mathematics in which tools from abstract algebra are used to study topological spaces Table of contents 1 The method of algebraic invariants 2 Results on homology 3 Setting in category theory 4 The problems of algebraic topology ... edit The method of algebraic invariants 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

List of algebraic topology topics From Wikipedia, the free encyclopedia. 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 ... Homology (mathematics) Main article: Homology theory Simplex Simplicial complex Polytope ... Fundamental class Applications Jordan curve theorem Brouwer fixed point theorem Invariance of domain Lefschetz fixed-point theorem ... edit Homotopy theory Homotopy Fundamental group Seifert-van Kampen theorem Winding number ... edit Further developments Künneth theorem De Rham cohomology Characteristic class Chern class ... edit History Combinatorial topology Categories Algebraic topology Topology Views Article Discussion Edit History Personal tools Log in Navigation Main Page Community portal Current events Recent changes ... Donations 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). About Wikipedia

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/

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.

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

Next Previous Contents Algebraic Topology Andries Brouwer, aeb@cwi.nl Some fragments of algebraic topology. Introduction Topology 2.1 Topological spaces 2.2 Operations on topological spaces ... Next Previous Contents

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

Algebraic Topology Authors and titles for recent submissions Thu, 3 Jun 2004 Wed, 2 Jun 2004 Tue, 1 Jun 2004 Fri, 28 May 2004 ... Thu, 27 May 2004 Thu, 3 Jun 2004 math.AT/0406037 abs ps pdf other Title: The cone length and category of maps: pushouts, products and fibrations Authors: Martin Arkowitz (Dartmouth College), Donald Stanley (University of Regina), Jeffrey Strom (Western Michigan University) Comments: 32 pages Subj-class: Algebraic Topology MSC-class: 55M30 (primary), 55P99 (secondary), 55R05 (secondary) Wed, 2 Jun 2004 math.DG/0406008 abs ps pdf other Title: Boundary case of equality in optimal Loewner-type inequalities Authors: Victor Bangert Christopher Croke Sergei V. Ivanov Mikhail G. Katz Comments: 20 pages Subj-class: Differential Geometry; Algebraic Topology; Geometric Topology; Metric Geometry MSC-class: Tue, 1 Jun 2004 math.AG/0405589 abs ps pdf other Title: Weights in cohomology and the Eilenberg-Moore spectral sequence Authors: Matthias Franz Andrzej Weber Comments: 14 pages Subj-class: Algebraic Geometry; Algebraic Topology Fri, 28 May 2004

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/

Stable algebraic topology 1945-1966, by J.P. May 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/

No frames No frames

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

Workshop on Algebraic Topology Bellaterra, March 23 to 26, 1982 Organizing Committee: Proceedings: Workshop on Algebraic Topology Proceedings, List of Participants A. H. Assadi (Bures-sur-Yvette) M. Aubry (Nice) M. Castellet (Barcelona) B. Cenkl (Boston) J. Ewing (Newcastle) L. Franco (Santiago de Compostela) E. Frau (Barcelona) M. Golasinski (Torun) M. J. Hopkins (Oxford) J. Hubbuck (Aberdeen) U. Koschorke (Siegen) M. Ladra (Santiago de Compostela) J.-M. Lemaire (Nice) I. Llerena (Barcelona) P. Merle (Nice) J. L. Navarro (Zaragoza) R. A. Piccinini (St. John's) C. F. Ribeiro (Lille) H. Schulte-Croonenberg (Wuppertal) X.-Y. Shen (Pekin) R. Sivera (Valencia) J. L. Viviente (Zaragoza) C. Wilkerson (Detroit) Z. Wojtkowiak (Oxford) 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/

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.

Page 2     21-40 of 123    Back | 1  | 2  | 3  | 4  | 5  | 6  | 7  | Next 20