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Monoidal Uniqueness of Stable Homotopy Theory

✍ Scribed by Brooke Shipley

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
184 KB
Volume
160
Category
Article
ISSN
0001-8708

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✦ Synopsis

We show that the monoidal product on the stable homotopy category of spectra is essentially unique. This strengthens work of this author with Schwede on the uniqueness of models of the stable homotopy theory of spectra. Also, the equivalences constructed here give a unified construction of the known equivalences of the various symmetric monoidal categories of spectra (S-modules, W-spaces, orthogonal spectra, simplicial functors) with symmetric spectra. As an application we show that with an added assumption about underlying model structures Margolis' axioms uniquely determine the stable homotopy category of spectra up to monoidal equivalence.

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