| Cohomological Methods in Homotopy Theory: Barcelona Conference on Algebraic Topology, Bellatera, Spain, June 4-10, 1998 2001 Edition Contributor(s): Aguade, Jaume (Editor), Broto, Carles (Editor), Casacuberta, Carles (Editor) |
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ISBN: 3764365889 ISBN-13: 9783764365882 Publisher: Birkhauser OUR PRICE: $161.49 Product Type: Hardcover - Other Formats Published: June 2001 Annotation: This book contains a collection of articles summarizing the state of knowledge in a large portion of modern homotopy theory. A call for articles was made on the occasion of an emphasis semester organized by the Centre de Recerca Matemtica in Bellaterra (Barcelona) in 1998. The main topics treated in the book include abstract features of stable and unstable homotopy, homotopical localizations, p-compact groups, H-spaces, classifying spaces for proper actions, cohomology of discrete groups, K-theory and other generalized cohomology theories, configuration spaces, and Lusternik-Schnirelmann category. The book is addressed to all mathematicians interested in homotopy theory and in geometric aspects of group theory. New research directions in topology are highlighted. Moreover, this informative and educational book serves as a welcome reference for many new results and recent methods. |
| Additional Information |
| BISAC Categories: - Gardening - Mathematics | Topology - General - Medical |
| Dewey: 514.24 |
| LCCN: 2001035843 |
| Series: Progress in Mathematics |
| Physical Information: 0.94" H x 6.14" W x 9.21" (1.70 lbs) 415 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This book contains a collection of articles summarizing together the state of knowl- edge in a broad portion of modern homotopy theory. These articles were assembled during 1998 and 1999, on the occasion of an emphasis semester organized by the Centre de Recerca Matematica (CRM) and its highlight, the 1998 Barcelona Con- ference on Algebraic Topology (BCAT). First of all, we are indebted to all the authors for submitting their work, and to the referees for their help in the selec- tion and for their generous contribution to the content of the articles. Many talks given during the CRM semester or at the conference focused on aspects of the following topics: abstract stable homotopy, model categories, homotopical localizations and cellular approximations, p-compact groups, mod- ules over the Steenrod algebra, classifying spaces for proper actions of discrete groups, K-theory and other generalized cohomology theories, cohomology of fi- nite and profinite groups, Hochschild homology, configuration spaces, Lusternik- Schnirelmann category, stable and unstable splittings. Other talks treated multi- disciplinary subjects related to quantum field theory, differential geometry, homo- topical dynamics, tilings, and various aspects of group theory. In addition, an advanced course on Classifying Spaces and Cohomology of Groups was organized by the CRM in the days preceding the conference. Lecture notes from this course will be published by Birkhauser Verlag as the first volume of a newly created CRM Advanced Course series. |