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Cohomological Methods in Homotopy Theory Book

Cohomological Methods in Homotopy Theory
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  • Cohomological Methods in Homotopy Theory
  • Written by author Jaume Aguade
  • Published by Springer-Verlag New York, LLC, November 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 Matemàtica in Bellate
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Authors

Foreword
Etale approximations and the mod l cohomology of GL[subscript n]1
On the Hurewicz map and Postnikov invariants of KZ11
Recognition principle for generalized Eilenberg-Mac Lane spaces21
Groups with infinite homology27
Unstable splittings related to Brown-Peterson cohomology35
Stripping and splitting decorated mapping class groups47
Loop spaces of configuration spaces, braid-like groups, and knots59
On the homotopy type of infinite stunted projective spaces79
Stable splittings of [Omega]SU(n)91
Structure of mod p H-spaces with finiteness conditions103
Composition methods in the homotopy groups of ring spectra131
Tate cohomology in axiomatic stable homotopy theory149
Serre's theorem and the Nil[subscript l] filtration of Lionel Schwartz177
New relationships among loopspaces, symmetric products, and Eilenberg MacLane spaces185
Chern characters for the equivariant K-theory of proper G-CW-complexes217
The Thomified Eilenberg-Moore spectral sequence249
On the classifying space for proper actions263
Toric morphisms between p-compact groups271
On the vanishing of certain K-theory Nil-groups307
Lusternik-Schnirelmann cocategory: A Whitehead dual approach323
Rational self-equivalences for H-spaces349
Cellular approximations using Moore spaces357
Configuration spaces with summable labels375
Kaleidoscoping Lusteraik-Schnirelmann category type invariants397
Essential category weight and phantom maps407


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