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Axiomatic Stable Homotopy

a survey

  • Conference paper
Axiomatic, Enriched and Motivic Homotopy Theory

Part of the book series: NATO Science Series ((NAII,volume 131))

Abstract

We survey various approaches to axiomatic stable homotopy theory, with examples including derived categories, categories of (possibly equivariant or localised) 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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Authors and Affiliations

  1. University of Sheffield, UK

    N. P. Strickland

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  1. N. P. Strickland
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  1. University of Sheffield, UK

    J. P. C. Greenlees

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Strickland, N.P. (2004). Axiomatic Stable Homotopy. In: Greenlees, J.P.C. (eds) Axiomatic, Enriched and Motivic Homotopy Theory. NATO Science Series, vol 131. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0948-5_3

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  • DOI: https://doi.org/10.1007/978-94-007-0948-5_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-1834-3

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