Axiomatic stable homotopy - a survey

2003/07/10 by Neil Strickland, N. P. Strickland, Strickland, N. P.
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.AT #msc:55U35

paper · pdf · doi:10.48550/arxiv.math/0307143

arxiv created 2003/07/10 · arxiv updated 2009/12/01

Abstract

We survey various approaches to axiomatic stable homotopy theory, with examples including derived categories, categories of (possibly equivariant or localized) spectra, and stable categories of modular representations of finite groups. We focus mainly on representability theorems, localisation, Bousfield classes, and nilpotence.

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