Ebook: Cohomological Methods in Homotopy Theory: Barcelona Conference on Algebraic Topology, Bellaterra, Spain, June 4–10, 1998

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 Matem� tica 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.

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Content:
Front Matter....Pages I-VII
On the Hurewicz map and Postnikov invariants of K?....Pages 1-10
Recognition principle for generalized Eilenberg-Mac Lane spaces....Pages 11-20
Groups with infinite homology....Pages 21-26
Unstable splittings related to Brown-Peterson cohomology....Pages 27-33
Stripping and splitting decorated mapping class groups....Pages 35-45
Loop spaces of configuration spaces,braid-like groups, and knots....Pages 47-57
On the homotopy type of infinite stunted projective spaces....Pages 59-78
Stable splittings of ?SU(n)....Pages 79-90
Composition methods in the homotopy groups of ring spectra....Pages 91-102
Tate cohomology in axiomatic stable homotopy theory....Pages 103-130
New relationships among loopspaces, symmetric products, and Eilenberg Maclane spaces....Pages 131-148
Chern characters for the equivariant K-theory of proper G-CW-complexes....Pages 149-176
The Thomified Eilenberg—Moore spectral sequence....Pages 177-183
On the classifying space for proper actions....Pages 185-216
Toric morphisms between p-compact groups....Pages 217-247
On the vanishing of certain K-theory Nil-groups....Pages 249-262
Lusternik-Schnirelmann cocategory: A Whitehead dual approach....Pages 263-269
Rational self-equivalences for H-spaces....Pages 271-306
Cellular approximations using Moore spaces....Pages 307-321
Configuration spaces with summable labels....Pages 323-347
Kaleidoscoping Lusternik-Schnirelmann category type invariants....Pages 349-355
Essential category weight and phantom maps....Pages 357-374
....Pages 375-395