81. PIMS Algebraic Topology Seminar PIMS algebraic topology Seminar. 2002, 2003. All seminars are heldin the Room 216 at the PIMS facility, 1933 West Mall (WMAX 216). http://www.pims.math.ca/science/2002/ubc-ats/

PIMS Algebraic Topology Seminar All seminars are held in the Room 216 at the PIMS facility, 1933 West Mall (WMAX 216). Wedensday, November 13, 2002, 2:00 p.m. to 3:00 p.m. Dale Rolfsen , UBC The Temperley-Lieb algebra and knot problems NOTE UNUSUAL TIME, DAY AND LOCATION Friday, November 1, 2002, 1:00 p.m. to 2:00 p.m. Dev Sinha , University of Oregon Equivariant bordism and semi-free S^1 actions Wednesday, October 23, 2002, 2:00 p.m. to 3:00 p.m. Laura Scull , Mathematics, UBC S^1-Equivariant Formality Wednesday, October 16, 2002, 2:00 p.m. to 3:00 p.m. Izak Grguric , Mathematics, UBC Cobodism, Stiefel-Whitney classes, and the Thom-Pontryagin theorem Wednesday, October 9, 2002, 2:00 p.m. to 3:00 p.m. Dale Rolfsen , Mathematics, UBC Foliations of 3-manifolds and orderable groups Wednesday, October 2, 2002, 2:00 p.m. to 3:00 p.m. Olivier Rousseau , Mathematics, UBC Brouwer's topological degree and Jordan's curve theorem Wednesday, September 25, 2002, 2:00 p.m. to 3:00 p.m. Tomasz Kaczynski , University of Sherbrooke Computational homology: evolution of ideas Wednesday, September 18, 2002, 2:00 p.m. to 3:00 p.m.

82. Algebraic Topology algebraic topology, algebraic topology by Authors Allen Hatcher Released15 November, 2001 ISBN 0521795400 Paperback Sales Rank 40,708, http://www.wkonline.com/a/Algebraic_Topology_0521795400.htm

Book > Algebraic Topology Algebraic Topology by Authors: Allen Hatcher Released: 15 November, 2001 ISBN: 0521795400 Paperback Sales Rank: List price: Our price: Algebraic Topology > Customer Reviews: Average Customer Rating: Algebraic Topology > Customer Review #1: You would not regret if you buy this. There are many really good textbooks on algebraic topology and each has its own merit: Bredon for his effort in explaining everything that can be dealt without using spectral equences, Fomenko and Novikov for their effort in unifying differential geometry and algebraic/differential topology. Hatchers book is intended as one of the series that cover every aspect of the subject. Separate books on vector bundles and K-theory, and spectral sequences respectively, are to appear sometime in the future. Thus this one covers ordinary homology/cohomology and homotopy theory only. His writing style is helpful and user-friendly, not demanding extensive "mathematical maturity". I am not sure if this is "the" textbook on algebraic topology, but I bet this is among the best ones. You would not regret if you buy this, even when an electronic version is available online (for free) from the authors home page.

83. LATIN 2002 Minicourse Minicourse at LATIN 2002. Cancun, Mexico; 26 April 2002.Category Science Math Topology Events Past Events...... Recently, ideas and notions from mainstream geometric and algebraic topology haveentered the scene in Concurrency Theory and Distributed Systems Theory. http://www.math.auc.dk/~raussen/GETCO/latin.html

Minicourse on Geometric and Topological Methods in Concurrency Theory associated to LATIN 2002 Venue: Cancun, Mexico Dates: April 2 - April 6, 2002 Scope of the Minicourse Mathematical methods have always played a significant role in theoretical computer science: Discrete mathematics , in particular graph theory and ordered structures; logics , i.e., proof theory for all kinds of logics, classical, intuitionistic, modal etc.; and category theory , cartesian closed categories, topoi etc., have become undispensable tools. Also general topology has been used for instance in denotational semantics, with relations to ordered structures in particular. Recently, ideas and notions from mainstream geometric and algebraic topology have entered the scene in Concurrency Theory and Distributed Systems Theory. They have been applied in particular to problems dealing with the coordination of multi-processor and distributed systems. Techniques borrowed from higher-dimensional algebraic and geometric topology yield concepts, results and algorithms that seemed unreachable with traditional approaches: Techniques relying on simplicial combinatorial topology have led to new theoretical bounds concerning computability of fault-tolerant distributed protocols.

84. Recommended Program: Algebraic Topology Recommended Program algebraic topology, Programs. Ethan Devinatz, Steve Mitchell,John Palmieri 564, 565, 566, (algebraic topology) *. Other courses as desired. http://www.math.washington.edu/Grads/Programs/Recprog/algtop.html

Recommended Program: Algebraic Topology [Programs] Ethan Devinatz, Steve Mitchell, John Palmieri First Year (Modern Algebra) (Topology and Geometry of Manifolds) and one of the following: (Real Analysis) (Complex Analysis) (Linear Analysis) Second Year (Algebraic Topology) Other courses as desired. Algebraic topology is offered, usually, every other year. It can be offered in off years if there is demand. In any case, reading courses are available for the interested student. Graduate Study in Mathematics TOP grads@math.washington.edu

85. Expert In Algebraic Topology Named Fayerweather Professor In his research, Ravenel is an expert on algebraic topology, an abstract branch ofmathematics that is a modern form of geometry, but that focuses on structure http://www.rochester.edu/pr/releases/math/ravenel.htm

MATHEMATICS PROFESSOR NAMED TO FAYERWEATHER CHAIR August 18, 1999 Douglas Ravenel, a mathematician who has helped develop ways to boost student interest in math at the University of Rochester and who is known internationally for his expertise in an area of mathematics with applications from robotics to the shape of the universe, has been named Daniel Burton Fayerweather Professor of Mathematics. Ravenel has enjoyed working with numbers for as long as he can remember, and as a youngster he had a flair for the subject. For his 12th birthday he went out to a bookstore and treated himself to his first calculus textbook. "In mathematics, you have complete control over what you're doing," says Ravenel, who is chair of the Department of Mathematics. "It's not like making a sculpture, where you need to worry about whether the materials will do what you want them to. In mathematics, the material you're working with is entirely conceptual. That's part of the attraction for me." During the three years that Ravenel has headed the department, it has gained a national reputation for its innovative teaching. Four years ago its faculty members launched a new way to use the Web to customize homework assignments and give students immediate feedback. The software package, known as WeBWorK, is now used by math teachers at several other universities. Another innovation has been workshops where students work together in teams, helping each other learn the material and boosting student involvement. As a result, the department received the Goergen Award for Curricular Achievement last year, and mathematicians have won Goergen outstanding teaching awards in each of the last three years. Even more telling, the number of students taking calculus is growing even as the size of the overall student body is decreasing, and more students are majoring in the subject and taking on honors calculus.

86. Algebraic Topology: next up previous Next Theorems Up Topology Previous Key Ideasand Theorems algebraic topology 1. Basic Homotopy. Homotopy http://math.dartmouth.edu/graduate-students/syllabi/graduate-syllabi/topology/no

Next: Theorems: Up: Topology Previous: Key Ideas and Theorems: Algebraic Topology: Basic Homotopy. Homotopy of maps, retracts, deforma-tion retracts, homotopy type. The fundamental group and covering spaces. Compu-tation of the fundamental group (Van Kampen's Theorem and the edge-path group). Homology Theory. Definitions and basic properties of singular homology theory: the Eilenberg-Steenrod axioms. Computation of homology groups using -complexes. Basic cohomology theory. The Algebra of Topology: Exact sequences, chain and cochain complexes, chain homotopy, introduction to categories and functors, the functors tensor, and . The universal coefficient theorems. Theorems: root

87. A User's Guide To Algebraic Topology A User's Guide to algebraic topology. C Manifolds and Bundles. D Tables of HomotopyGroups. E Computational algebraic topology. Bibliography. Index. http://www.ma.umist.ac.uk/kd/augtat.html

A User's Guide to Algebraic Topology C.T.J. Dodson Department of Mathematics, University of Manchester Institute of Science and Technology, Manchester, M60 1QD UK Phillip E. Parker Department of Mathematics, Wichita State University, KS 67208, USA Mathematics and Its Applications Volume 387, Kluwer Academic Publications, Dordrecht 1997, 1998 This book arose from courses taught by the authors, and is designed for both instructional and reference use during and after a first course in algebraic topology. It is a handbook for users who want to calculate, but whose main interests are in applications using the current literature, rather than in developing the theory. Typical areas of applications are differential geometry and theoretical physics. We start gently, with numerous pictures to illustrate the fundamental ideas and constructions in homotopy theory that are needed in later chapters. We show how to calculate homotopy groups, homology groups and cohomology rings of most of the major theories, exact homotopy sequences of fibrations, some important spectral sequences, and all the obstructions that we can compute from these. Our approach is to mix illustrative examples with those proofs that actually develop transferable calculational aids. We give extensive appendices with notes on background material, extensive tables of data, and a thorough index. Audience: Graduate students and professionals in mathematics and physics.

88. Topics In Algebraic Topology TOPICS IN algebraic topology. FALL 1997. Math 255A. Course Code 448545.This course meets TuTh in PS1 314 from 91020 AM. Tu. Sept. http://www.math.uci.edu/~rstern/algtop.html

TOPICS IN ALGEBRAIC TOPOLOGY FALL 1997 Math 255A Course Code 448545 This course meets TuTh in PS1 314 from 9-10:20 AM Tu. Sept. 30 Introduction: Why 6-manifolds? Th. Oct. 2 Constructions on 4-manifolds Tu. Oct. 7 Constructions on 4-manifolds Th. Oct. 9 Constructions on 4-manifolds Tu. Oct. 14 Classification of 6-manifolds Th. Oct. 16 Classification of 6-manifolds Tu. Oct. 21 Complex 3-folds Th. Oct. 23 Complex 3-folds Tu. Oct. 28 How does a 4-manifold embed in a 6-manifold? Th. Oct. 30 How does a 4-manifold embed in a 6-manifold? Tu. Nov. 4 How does a 4-manifold embed in a 6-manifold? Th. Nov. 6 Non-Kahler 6-manifolds Tu. Nov. 11 Symplectic 6-manifolds Th. Nov. 13 Tu. Nov. 18 Th. Nov. 20 Tu. Nov. 25 Topology Seminar Home Page Ron Stern's Home Page

89. Algebraic Topology Applied To Distributed Asynchronous Systems algebraic topology applied to Distributed Asynchronous Systems. An excellent bookon algebraic topology, freely available, by Allen Hatcher at Cornell. http://www.inrialpes.fr/vasy/people/Frederic.Tronel/english/topologie/topologie.

Home Algebraic Topology applied to Distributed Asynchronous Systems Introduction As stated in this brief introduction to fault tolerance by the mean of group communication, the problem of consensus (distributed agreement) play a central role in the theory of distributed computing. Since it has been proven to be unsolvable by deterministic algorithms in a purely asynchronous system, it was a real challenge to explicitly determine the border that exists between solvable and unsolvable problems in asynchronous systems. This problem is remained unsolved till the publication of a seminal paper by Maurice Herlihy and Nir Shavit. In fact at the reading of this paper, one can understand that all the previous approaches where prone to fail. Indeed, all of them kept on using the traditional way of modelling an asynchronous system, namely by the mean of a graph of local states. This technic can be successful, when there is only one crash in the system. However, it does not scale well, when the number of crashes increases. On the contrary, Herlihy and Shavit have chosen to model the evolution of the system through the use of high dimensional geometrical objects. Further Elements I have written slides that attempt to introduce the basic notions of algebraic topology that are necessary to understand the last advances in theory of distributed systems (unfortunately in French, an English version soon):

90. MAS405 Algebraic Topology 2001-2002 MTHM014 algebraic topology 20022003. (=MAS405 Basic Topology) BOOKS. Main TextAllen Hatcher, algebraic topology (Cambridge University Press 2002). http://www.maths.qmw.ac.uk/~sb/bastop02.html

MTHM014 Algebraic Topology 2002-2003 (=MAS405 Basic Topology) Level 4: Semester 7 Lecturer: Prof S Bullett (Room 252, Mathematics: s.r.bullett@qmul.ac.uk: 020 7882 5474) Lecture times: Wed 11-1 (Engineering 237a) beginning Wednesday 25th September 2002. (Please contact the lecturer if these times are inconvenient. The first lecture, on 25/9/02, should take place whether or not there is a tube strike, but will only contain introductory material.) Lecturer's consultation hours (to be confirmed): Mon 1.30-2.30 and Wed 1.30-2.30. (Room 252, Maths) Assessment: 100% final examination (May 2003). SYLLABUS Homotopy Fundamental groups, covering spaces, homotopy equivalence, functoriality, CW complexes. [4 weeks, including introductory lecture] Simplicial Complexes Triangulation, simplicial homology, examples and applications. [2 weeks] Singular Homology Singular homology, homological algebra, relative homology, Eilenberg-Steenrod axioms. [3 weeks] Degree and Fixed Point Theorems Degrees of maps of spheres, vector fields and their zeros, Euler-Poincare-Hopf theorem, Lefschetz fixed point theorem. [1 week] Cohomology and its Applications Singular cohomology, duality, products, applications.

91. Algebraic Topology Find a different startpage for browsing 'algebraic topology' - Related Collections.Browse Help. Fully equivalent algebraic topology (55-XX). http://www.renardus.org/cgi-bin/genDDCbrowseSQL.pl?node=AATAU

92. Algebraic Topology And Distributed Computing A Primer - Herlihy, Rajsbaum (Resea Models and techniques borrowed from classical algebraic topology have recently yieldeda variety of new lower bounds and impossibility results for distributed http://citeseer.nj.nec.com/34495.html

Algebraic Topology and Distributed Computing A Primer (1995) (Make Corrections) (10 citations) Maurice Herlihy, Sergio Rajsbaum Computer Science Today Home/Search Context Related View or download: brown.edu/people/mph/sv.ps math.tau.ac.il/~stupp/ARCHIV sv.ps.gz Cached: PS.gz PS PDF DjVu ... Help From: mit.edu/~rajsbaum/ (more) From: math.tau.ac.il/~stupp/ARC index Homepages: M.Herlihy S.Rajsbaum HPSearch (Update Links) Rate this article: (best) Comment on this article (Enter summary) Abstract: . Models and techniques borrowed from classical algebraic topology have recently yielded a variety of new lower bounds and impossibility results for distributed and concurrent computation. This paper explains the basic concepts underlying this approach, and shows how they apply to a simple distributed problem. 1 Introduction The problem of coordinating concurrent processes remains one of the central problems of distributed computing. Coordination problems arise at all scales in distributed and ... (Update) Context of citations to this paper: More ...a comonad, i.e. an S4 like modality.

93. Algebraic & Geometric Topology Fully refereed electronic journal. Free. Papers also deposited in the ArXiv.Category Science Math topology Journals...... http://www.maths.warwick.ac.uk/agt/

94. M.I.T. Topology Seminar - Spring 2003 Massachusetts Institute of Technology, MIT topology Seminar Spring2003. Monday, 430-530PM Room 2- 139. Past seminars; Check out http://www-math.mit.edu/topology/

MIT Topology Seminar- Spring 2003 Monday, 4:30-5:30PM Room Past seminars Check out the graduate student Babytop seminar February 10, 2003 Jaume Aguade (Universitat Autonoma de Barcelona) Kac-Moody groups from a homotopy point of view February 24, 2003 Birgit Richter March 3, 2003 Kyoshi Igusa (Brandeis University) Graph cohomology and its relationship to Miller-Morita-Mumford classes and higher Franz-Reidemeister torsion March 10, 2003 Igor Kriz(University of Michigan) Conformal field theory, D-branes and Elliptic cohomology March 31, 2003 Mark Hovey (Wesleyan Univ) Comodules and Landweber exactness April 7, 2003 Jinho Lee Topic TBA April 14, 2003 Don Davis Topic TBA April 28, 2003 Christian Schlichtkrull Topic TBA May 5, 2003 Kathryn Lesh Topic TBA May 12 , 2003 Jon Pakianathan Topic TBA Questions? Send an email to Viorel Costeanu Some useful links Hopf Topology Archive Geometry and Topology (Electronic Journal) Algebraic and Geometric Topology (Electronic Journal) Homology, Homotopy and Applications (Electronic Journal) The Mathematical Gazette Seminars and Colloquia at MIT MIT Department of Mathematics

95. Www.elsevier.nl/section/math/hoat/hoathome.htm http://www.elsevier.nl/section/math/hoat/hoathome.htm

96. Index Of /~mischaik/courses/Math4432 Parent Directory 21Aug-2002 1010 - math4432.html 05-Apr-2000 1113 1k Description Book by T. Kaczynski, K. Mischaikow, and M. Mrozek in PostScript.Category Science Math Publications Online Texts......Index of /~mischaik/courses/Math4432. Name Last modified Size http://www.math.gatech.edu/~mischaik/courses/Math4432/

Index of /~mischaik/courses/Math4432 Name Last modified Size Description ... Parent Directory 21-Aug-2002 10:10 - math4432.html 05-Apr-2000 11:13 1k Apache/1.3.27 Server at www.math.gatech.edu Port 80

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