21. Algebraic Topology Authors/titles Oct 2002 algebraic topology. Authors and titles for Oct 2002. on page 1, line 22 Subjclassalgebraic topology; General Topology MSC-class MSC 55N33, 58A35 http://arxiv.org/list/math.AT/0210

Algebraic Topology Authors and titles for Oct 2002 math.AT/0210001 abs ps pdf other Title: Connectivity of the coset poset and the subgroup poset of a group Authors: Daniel A. Ramras Comments: 28 pages Subj-class: Algebraic Topology; Group Theory MSC-class: 20D30 (Primary), 05E25, 06A11, 55P99 (Secondary) math.AT/0210006 abs ps pdf other Title: A cubical model for a fibration Authors: Tornike Kadeishvili Samson Saneblidze Comments: 15 pages, 1 figure Subj-class: Algebraic Topology MSC-class: math.AT/0210018 abs ps pdf other Title: Topological robotics: motion planning in projective spaces Authors: Michael Farber Serge Tabachnikov Sergey Yuzvinsky Comments: 16 pages Subj-class: Algebraic Topology; Differential Geometry; Robotics math.AT/0210022 abs ps pdf other Title: On Normal Stratified Pseudomanifolds Authors: G. Padilla Comments: 9 pages article, Latex, amsart-style format. MSC Keywords: Intersection homology, Stratified pseudomanifolds. The format of this article was corrected on 5/10/2002; as also a bib.ref. on page 1, line 22 Subj-class: Algebraic Topology; General Topology

22. Algebraic Topology Next Previous Contents algebraic topology. Andries Brouwer, aeb@cwi.nl. v1.0, 991111Some 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

23. Course Algebraic Topology Course algebraic topology. Lecturer. prof.dr. AE Brouwer, emailaeb@cwi.nl. Dates. 15 Feb 2002, 22 Feb 2002, 1 Mar 2002, 8 Mar 2002 http://www.win.tue.nl/~aeb/at/

Course Algebraic Topology Lecturer prof.dr. A.E. Brouwer, email: aeb@cwi.nl Dates 15 Feb 2002, 22 Feb 2002, 1 Mar 2002, 8 Mar 2002, 12 Apr 2002, 19 Apr 2002, 26 Apr 2002, 3 May 2002, 10 May 2002. Time Place Eindhoven University of Technology, room HG 9.40. Course material Some fragments of lecture notes are available already. Further notes will be distributed. (Nederlands vervolg) 1e college (2002-02-15). Topologische ruimten, scheidingsaxioma's, regulier open verzamelingen, Boolese algebras, ordinaalgetallen. Over ordinaalgetallen is er een tekst fragment 2e college (2002-02-22). Homotopie en homotopiegroepen. Over de compact-open topologie is er een tekst fragment 3e college (2002-03-01). Projectieve vlakken. Klassificatie van 2-dimensionale compacte manifolds. 4e college (2002-03-08). Knopen. Kauffman bracket. Jones polynomial.

24. AMS Summer 1999 Research Conference In Algebraic Topology University of Colorado, Boulder, USA; 2024 June 1999. Photos, proceedings.Category Science Math Topology Events Past Events......1999 AMSIMS-SIAM Summer Research Conference on HOMOTOPY METHODS IN ALGEBRAICTOPOLOGY. WHEN Sunday, June 20 - Thursday, June 24, 1999. http://www.math.wayne.edu/~rrb/Summer99/

1999 AMS-IMS-SIAM Summer Research Conference on HOMOTOPY METHODS IN ALGEBRAIC TOPOLOGY WHEN: Sunday, June 20 - Thursday, June 24, 1999 (check in June 19, check out June 25) WHERE: University of Colorado , Boulder, CO Now that the conference is over, this web page will be maintained for a time as a source of information about the conference and about the proceedings of the conference. (Which should be appearing any day now.) Here are some photos from the banquet, taken by Donna Salter of the AMS. Here is a copy of the conference photo . It is a 700500 byte jpeg, 3000 x 2187 pixels in size, which takes 10 to 20 minutes to download on my 28 K line. Note that the upper left corner is quite dark: there is nothing wrong with your browser. Scroll down and right to see the people in the photo. Here is a cropped version which is only 532849 bytes, 1265 x 436 pixels in size, and which appears much smaller for some reason known only to XV, the program used to crop it. This is the schedule of talks as they actually occurred, and an alphabetical list of speakers (with titles and abstracts), and the

25. Home - Barcelona Algebraic Topology Group Mathematics Department, Barcelona algebraic topology Home Page, UAB. Welcome!For Barcelona Conference on algebraic topology 2002. Information http://mat.uab.es/topalg/page.htm

Barcelona Algebraic Topology Home Page Welcome! For more information about our group, have a look at the following pages: What do our logo and wallpaper mean? Introduction Team Members Research Projects Preprints and Publications Theses UAB Topology Seminar Graduate Courses Conferences and Activities Other Useful Links Address or: all on one big page El Grup de Topologia Algebraica de Barcelona Postdoctoral Positions Available Several postdoctoral positions are offered by the Team, related to the Research Training Network EEC HPRN-CT-1999-00119, Modern Homotopy Theory, supported by the European Commission. Applications are welcome. Click here for further information. Marie Curie Training Site Fellowships Applications are invited from graduate students pursuing doctoral studies related to Topology in member states of the European Community or associated states, for short stays at the CRM. This Training Site is supported by the European Commission under contract no. HPMT-2000-00075, Cohomological and Group-Theoretical Methods in Topology. Click here for further information.

26. 1982 Workshop On Algebraic Topology Workshop on algebraic topology Bellaterra, March 23 to 26, 1982. OrganizingCommittee 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.

27. Algebraic Topology - Cambridge University Press Home Catalogue algebraic topology. Related Areas New titles Email For updateson new titles in Pure Mathematics. algebraic topology. Allen Hatcher. £20.95. http://books.cambridge.org/0521795400.htm

Home Catalogue Related Areas: Pure Mathematics New titles Email For updates on new titles in: Pure Mathematics Algebraic Topology Allen Hatcher Hardback In stock Contents Cambridge University Press 2001. Security Order by phone (+44 (0)1223 326050) or fax (+44 (0)1223 326111).

28. Algebraic Topology - Cambridge University Press Home Catalogue algebraic topology. Related Areas New titles Email For updateson new titles in Pure Mathematics. algebraic topology. Allen Hatcher. £60.00. http://books.cambridge.org/052179160X.htm

Home Catalogue Related Areas: Pure Mathematics New titles Email For updates on new titles in: Pure Mathematics Algebraic Topology Allen Hatcher Paperback In stock Contents Cambridge University Press 2001. Security Order by phone (+44 (0)1223 326050) or fax (+44 (0)1223 326111).

29. Research In Geometry & Algebraic Topology Research in Geometry algebraic topology. Geometry and algebraic topology thegeneralised Mckay correspondence. algebraic topology. http://www.maths.gla.ac.uk/research/groups/geoalgtop/

Mathematics Home Research Undergrad Postgrad ... Combinatorics In many respects, the latter half of the 20th Century has been a golden age of Geometry and Topology, with spectacular advances in the study of manifolds (particularly in dimension 4), Global Analysis including Index Theory, complex manifolds and Algebraic Geometry, including its applications in Number Theory. Increasingly, strong connections with integrable system theory and global aspects of differential equations as well as the remarkable two-way flow of ideas between Geometry and Theoretical Physics are dominating developments. Algebraic Topology has developed important machinery such as cohomology theories including ordinary cohomology, K -theory, cobordism and elliptic cohomology. These are often of use in geometric situations, as well as within Algebraic Topology itself which tends to study much less `rigid' geometric situations than Geometers do. There have also been significant interactions with many areas of Algebra, and indeed much of Algebraic Topology can be viewed as `applied algebra' as well as being a major source of innovative algebraic ideas. Departmental research activity in Geometry and Topology occurs in the following areas.

30. MAT 539 -- Algebraic Topology MAT 539 algebraic topology. Textbook. Differential forms in algebraic topology,by Raoul Bott and Loring W. Tu, GTM 82, Springer Verlag 1982. http://www.math.sunysb.edu/~sorin/topology/home.html

MAT 539 Algebraic Topology Instructor Sorin Popescu (office: Math 4-119, tel. 632-8358, e-mail sorin@math.sunysb.edu Prerequisites A basic introduction to geometry/topology, such as MAT 530 and MAT 531 Textbook Differential forms in algebraic topology , by Raoul Bott and Loring W. Tu, GTM , Springer Verlag 1982. The guiding principle of the book is to use differential forms and in fact the de Rham theory of differential forms as a prototype of all cohomology thus enabling an easier access to the machineries of algebraic topology in the realm of smooth manifolds. The material is structured around four core sections: de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes, and includes also some applications to homotopy theory. Other recommended texts: Algebraic Topology: A first Course , W. Fulton, GTM , Springer Verlag 1995 Topology from the Differentiable Viewpoint , J. Milnor, U. of Virginia Press 1965 Algebraic Topology , A. Hatcher (on-line), Cambridge University Press, to appear Characteristic classes , J. Milnor and J. Stasheff, Princeton University Press 1974

31. May, J. P.: A Concise Course In Algebraic Topology May, JP A Concise Course in algebraic topology, university pressbooks, shopping cart, new release notification. http://www.press.uchicago.edu/cgi-bin/hfs.cgi/00/13911.ctl

Go to ... Full text search Excerpts Subject catalogs Subject index ... Shopping cart contents or Print an order form May, J. P. A Concise Course in Algebraic Topology . x, 244 p., 117 line drawings. 1999 Series: (CLM) Chicago Lectures in Mathematics Series Paper $20.00tx 0-226-51183-9 Fall 1999 Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field. Subjects: Mathematics and Statistics The University of Chicago Press You may purchase this title at these fine bookstores . Outside the USA, consult our

32. May, J. P.: Simplicial Objects In Algebraic Topology May, JP Simplicial Objects in algebraic topology, university pressbooks, shopping cart, new release notification. http://www.press.uchicago.edu/cgi-bin/hfs.cgi/00/1470.ctl

Go to ... Full text search Excerpts Subject catalogs Subject index ... Shopping cart contents or Print an order form May, J. P. Simplicial Objects in Algebraic Topology Paper $20.00tx 0-226-51181-2 Spring 1993 Since it was first published in 1967, Simplicial Objects in Algebraic Topology has been the standard reference for the theory of simplicial sets and their relationship to the homotopy theory of topological spaces. J. Peter May gives a lucid account of the basic homotopy theory of simplicial sets (discrete analogs of topological spaces) which have played a central role in algebraic topology ever since their introduction in the late 1940s. Simplicial Objects in Algebraic Topology presents much of the elementary material of algebraic topology from the semi-simplicial viewpoint. It should prove very valuable to anyone wishing to learn semi-simplicial topology. [May] has included detailed proofs, and he has succeeded very well in the task of organizing a large body of previously scattered material." Mathematical Review Subjects: Mathematics and Statistics The University of Chicago Press You may purchase this title at these fine bookstores . Outside the USA, consult our

33. University Of Chicago Algebraic Topology Seminar Topology Seminar. Schedule and links to other meetings.Category Science Math Topology Research Groups......University of Chicago algebraic topology Seminar. 430 pm Tuesday, January21, 2003 algebraic topology No seminar; Second Namboodiri Lecture http://www.math.uchicago.edu/seminars/algebraic_topology.html

University of Chicago Algebraic Topology Seminar

34. University Of Chicago Algebraic Topology Seminar University of Chicago algebraic topology Seminar. The algebraic topology PreviousQuarters' algebraic topology Seminar Calendars http://www.math.uchicago.edu/~jg/winter00topsem.html

University of Chicago Algebraic Topology Seminar The Algebraic Topology Seminar is held in Eckhart Hall room 203 on Tuesdays at 4:00pm, after tea. Topologists come from all over the world to speak in the seminar on their current research. All are welcome to attend. An Algebraic Topology Proseminar in Eckhart 308 often preceeds the Algebraic Topology Seminar at 2:30, before tea. The proseminar is more informal than the seminar and is indended to prepare students and non-topologists for seminar talks or for discussion of other topics in current topological research. The proseminar is primarily intended for members of the department, but all are welcome to attend. Winter 2000 Seminar Calendar January 11 4:00 Alexander Voronov , Michigan State University Title: The Little Disks Operad and Hochschild Complex January 18 2:30 Proseminar: Benjamin Blander, "Homotopy Theory of Schemes" 4:00 Maria Basterra , The University of Illinois Title: Andre-Quillen Cohomology, Stabilization, and Koszul Duality January 28 (Friday) 4:00 Charles Rezk , Institute for Advanced Study Title: Rigid Homotopy Theory February 1 4:00 Kristine Baxter , The University of Illinois Title: Higher Hochschild Homology and its Decompositions February 8 No seminar today February 15 4:00 Kimberly Pearson , Valparaiso University Title: The p-Chain Spectral Sequence and the Gromov-Lawson-Rosenberg Conjecture February 22 2:30 Proseminar: Steven Spallone, "Elliptic Curves and Modular Forms"

35. Algebraic Topology Resources algebraic topology resources. Recommended References. see index fortotal category for your convenience Best Retirement Spots http://futuresedge.org/mathematics/Algebraic_Topology_.html

Algebraic Topology resources. Recommended References. [see index for total category] for your convenience: Best Retirement Spots Web Hosting ULTRAToolBox Resources on Diet and Nutrition Pain Relief Allergies Tech Refresh , and finally - a must check - Mediterranean diet Discovery. Algebraic Topology applications, theory, research, exams, history, handbooks and much more Introduction: Sheaves in Geometry and Logic: A First Introduction to Topos Theory (Universitext) by I. Moerdijk A Combinatorial Introduction to Topology by Michael Henle Topology: An Introduction to the Point-Set and Algebraic Areas by Donald W. Kahn Homology Theory: An Introduction to Algebraic Topology (Graduate Texts in Mathematics) by James W. Vick Introduction to Algebraic Topology by Springer Verlag Introduction to Combinatorial Torsions by Vladimir Tuarev Algebraic Topology: An Introduction (Graduate Texts in Mathematics, Vol 56) by William S. Massey Introduction to the Baum-Connes Conjecture by Alain Valette Introduction to Algebraic Topology (Graduate Texts in Mathematics, Vol 119) by Joseph J. Rotman An Introduction to K-Theory for C*-Algebras (London Mathematical Society Student Texts, No 49)

36. MA408 Algebraic Topology MA408, Term 2. algebraic topology, 18 CATS. However, there are several books onalgebraic topology which cover some of the ideas in the module, for example http://www.maths.warwick.ac.uk/pydc/mauve/mauve-MA408.html

MATHEMATICS INSTITUTE A-Z Index Search Mauve (MMath) PYDC 2002-2003 Overview (White) Study Guide (Orange) Year 1 (Blue) Year 2 (Green) ... University Term 2 Algebraic Topology 18 CATS Status List C Commitment : 30 one-hour lectures. Prerequisites MA3F1 Introduction to Topology (keen students can take this module at the same time), MA455 Manifolds (when available) can be taken at the same time as Algebraic Topology Content : Algebraic topology is concerned with the construction of algebraic invariants (usually groups) associated to topological spaces which serve to distinguish between them. Most of these invariants are ``homotopy'' invariants. In essence, this means that they do not change under continuous deformation of the space and homotopy is a precise way of formulating the idea of continuous deformation. This module will concentrate on constructing the most basic family of such invariants, homology groups, and the applications of these homology groups. The starting point will be simplicial complexes and simplicial homology. An n -simplex is the n -dimensional generalisation of a triangle in the plane. A simplicial complex is a topological space which can be decomposed as a union of simplices. The simplicial homology depends on the way these simplices fit together to form the given space. Roughly speaking, it measures the number of

37. Algebraic Topology (M24) Topology algebraic topology (M24). B. Totaro. The twentieth centurymay one day be known as the age of algebraic topology. In http://www.maths.cam.ac.uk/postgrad/courses/descriptions/node36.html

Next: Morse Theory (L24) Up: Topology Previous: Topology Algebraic Topology (M24) B. Totaro The twentieth century may one day be known as the age of Algebraic Topology. In the past, to solve a mathematical problem typically meant finding an exact formula for the solution. But that is usually impossible; and even when it is possible, a complicated formula may not give much insight. The idea of topology is that the general shape of a mathematical object is the most important thing. Algebraic topology is the central core of topology: it explains how to describe shapes in a precise and computable way. The ideas of algebraic topology are now important in almost all mathematical subjects, even those where no topology is visible at first, such as number theory, algebraic geometry, and representation theory. Pre-requisite Mathematics I will assume knowledge of point-set topology (compactness, connectedness, and so on) and algebraic notions such as groups and rings. Students from Cambridge will have seen the fundamental group and some version of homology or cohomology groups in the Part IIB courses on Algebraic Topology or Differentiable Manifolds. If you haven't seen such things before, I suggest looking at one of the many introductions to algebraic topology over the summer. Some that I find most readable are M.A. Armstrong, Basic topology, Springer (1983) (for the fundamental group and simplicial homology groups), or the beginning of Bott and Tu, for the de Rham cohomology ring.

38. ALGEBRAIC TOPOLOGY algebraic topology. (B5, 16 lectures). Part IB Further Analysis is essential andAnalysis II is desirable. W. Massey. algebraic topology an introduction . http://www.maths.cam.ac.uk/undergrad/schedules/text/node64.html

Next: NUMBER FIELDS Up: No Title Previous: DIFFERENTIABLE MANIFOLDS ALGEBRAIC TOPOLOGY B5, 16 lectures) Part IB Further Analysis is essential and Analysis II is desirable. The fundamental group Homotopy of continuous functions and homotopy equivalence between topological spaces. The fundamental group of a space, homomorphisms induced by maps of spaces, change of base point, invariance under homotopy equivalence. [3] Covering spaces Covering spaces and covering maps. Path-lifting and homotopy-lifting properties. The determination of the fundamental group of spheres, tori, and real projective spaces. *The correspondence, for a connected, locally contractible space X , between coverings of X and conjugacy classes of subgroups of the fundamental group of X . The universal covering of X Simplicial complexes Finite simplicial complexes and subdivisions; the Simplicial approximation theorem. [2] Homology Simplicial homology, the homology groups of a simplex and its boundary. Functorial properties; the invariance of simplicial homology groups under homotopy equivalence. The homology of S n ; Brouwer's fixed-point theorem. [5]

39. Introduction To Algebraic Topology Mathematics 272b. Introduction to algebraic topology. Michael Hopkins.Spectral sequences and techniques of computation. Vector bundles http://icg.harvard.edu/6502

Spring 2003 Syllabus Assignments Handouts Books ... eMailbag Mathematics 272b Introduction to Algebraic Topology Michael Hopkins Spectral sequences and techniques of computation. Vector bundles and characteristic classes. Bott periodicity. K-theory, cobordism and stable cohomotopy as examples of cohomology theories. URL: http://www.courses.fas.harvard.edu/~math272b/ Last modified: 07/17/2002 Instructor's Toolkit PIN Unix

40. Introduction To Algebraic Topology Mathematics 272a. Introduction to algebraic topology. Peter Kronheimer.Covering spaces and fibrations. Simplicial and CW complexes. http://icg.harvard.edu/1666

Fall 2002 WWW Links Assignments Handouts Syllabus ... Book Mathematics 272a Introduction to Algebraic Topology Peter Kronheimer Covering spaces and fibrations. Simplicial and CW complexes. Homology and cohomology, universal coefficients and Kunneth formulas. Hurewicz theorem. Manifolds and Poincare duality. Web contact: Peter Kronheimer URL: http://www.courses.fas.harvard.edu/~math272a/ Last modified: 07/17/2002 Instructor's Toolkit PIN Unix

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