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Algebraic Topology: more books (100)

Linear Algebraic Groups (Progress in Mathematics) by T.A. Springer, 1998-10-26

Algebraic and Differential Topology (Classics of Soviet Mathematics) by R. V. Gamkrelidze, 1987-03-06

Elements of Combinatorial And Differential Topology (Graduate Studies in Mathematics, V. 74) (Graduate Studies in Mathematics) by V. V. Prasolov, 2006-07-01

Elementary Topology: A Combinatorial and Algebraic Approach by D. Blackett, 1982-09

High-dimensional Knot Theory: Algebraic Surgery in Codimension 2 (Springer Monographs in Mathematics) by Andrew Ranicki, 1998-09-18

Sheaves in Topology (Universitext) by Alexandru Dimca, 2004-04-28

Topology I: General Survey (Encyclopaedia of Mathematical Sciences)

Topology: Point-Set and Geometric (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts) by Paul L. Shick, 2007-02-09

Symposium on Algebraic Topology (Lecture notes in mathematics, 249)

Algebraic Topology, Poznan 1989: Proceedings of a Conference Held in Poznan, Poland, June 22-27, 1989 (Lecture Notes in Mathematics) by S. Jackowski, B. Oliver, 1991-07

Lefschetz Centennial Conference, Part 2: Proceedings on Algebraic Topology (Contemporary Mathematics)

Introduction to Topology and Modern Analysis by George F. Simmons, 1982-06

Cellular Structures in Topology (Cambridge Studies in Advanced Mathematics) by Rudolf Fritsch, Renzo Piccinini, 1990-09-28

Algebraic Homotopy (Cambridge Studies in Advanced Mathematics) by Hans Joachim Baues, 1989-03-31

lists with details

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/
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

Extractions: 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".
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

Extractions: Minicourse on Geometric and Topological Methods in Concurrency Theory associated to LATIN 2002 Venue: Cancun, Mexico Dates: April 2 - April 6, 2002 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.
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

Extractions: 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.
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

Extractions: 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.
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
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

Extractions: 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.
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

Extractions: 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
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.

Extractions: Home Algebraic Topology applied to Distributed Asynchronous Systems 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. 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):
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
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
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

Extractions: 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)
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/
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/

Extractions: 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
Www.elsevier.nl/section/math/hoat/hoathome.htm
http://www.elsevier.nl/section/math/hoat/hoathome.htm
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 TextsIndex of /~mischaik/courses/Math4432. Name Last modified Size
http://www.math.gatech.edu/~mischaik/courses/Math4432/

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