Axiomatic Stable Homotopy

Axiomatic Stable Homotopy
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公理稳定同伦

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发表时间:
2004
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通讯作者:
N. Strickland
N. Strickland
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作者:
N. Strickland

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我们调查各种方法公理稳定同伦理论,包括衍生类别的例子,类别(可能是等变或本地化)的频谱,和稳定的类别有限群的模块化表示。我们主要集中在可表示性定理,本地化,Bousfield类,和零。
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.