# An Alpine Anthology of Homotopy Theory (Contemporary Mathematics No. 399)

By: Kathryn Hess (editor), Dominique Arlettaz (editor)Paperback

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£76.50

### Description

The second Arolla conference on algebraic topology brought together specialists covering a wide range of homotopy theory and $K$-theory. These proceedings reflect both the variety of talks given at the conference and the diversity of promising research directions in homotopy theory. The articles contained in this volume include significant contributions to classical unstable homotopy theory, model category theory, equivariant homotopy theory, and the homotopy theory of fusion systems, as well as to $K$-theory of both local fields and $C^*$-algebras.

### Contents

A note on the homology of $\Sigma n$, the Schwartz genus, and solving polynomial equations by G. Arone A geometric construction of saturated fusion systems by C. Broto, R. Levi, and B. Oliver The orthogonal subcategory problem in homotopy theory by C. Casacuberta and B. Chomy Homotopy pull-back squares up to localization by W. Chacholski, W. Pitsch, and J. Scherer Traces and reduced group $C^*$-algebras by I. Chatterji and G. Mislin Integral cohomology of 2-local Hopf spaces with at most two non-trivial finite homotopy groups by A. Clement On the double suspension and the mod-$p$ Moore space by B. Gray and S. Theriault Rational extended Mackey functors for the circle group by J. P. C. Greenlees and J.-Ph. Hoffmann On the topological cyclic homology of the algebraic closure of a local field by L. Hesselholt Realizing Kasparov's $KK$-theory groups as the homotopy classes of maps of a Quillen model category by M. Joachim and M. W. Johnson Homology commutators and $\mathcal{P}^1$ actions by J. Lin.

### Product Details

• publication date: 15/04/2006
• ISBN13: 9780821836965
• Format: Paperback
• Number Of Pages: 209
• ID: 9780821836965
• weight: 425
• ISBN10: 082183696X

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