Stabilization of Homotopy Limits

Stabilization of Homotopy Limits

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Homotopy Limits, Completions and Localizations

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The main purpose of part I of these notes is to develop for a ring R a functional notion of R-completion of a space X. For R=Zp and X subject to usual finitenes

Nilpotence and Periodicity in Stable Homotopy Theory

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Nilpotence and Periodicity in Stable Homotopy Theory describes some major advances made in algebraic topology in recent years, centering on the nilpotence and p

Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem

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A complete and definitive account of the authors' resolution of the Kervaire invariant problem in stable homotopy theory.

Homotopy Limit Functors on Model Categories and Homotopical Categories

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The purpose of this monograph, which is aimed at the graduate level and beyond, is to obtain a deeper understanding of Quillen's model categories. A model categ