Axiomatic stable homotopy - a survey

Mathematics – Algebraic Topology

Scientific paper

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Scientific paper

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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