Symmetric Monoidal Categories Model All Connective Spectra

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Symmetric Monoidal Categories Model All Connective Spectra (1995)

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by R. W. Thomason

Venue:	THEORY AND APPLICATIONS OF CATEGORIES, 1:78--118
Citations:	9 - 0 self

BibTeX

@INPROCEEDINGS{Thomason95symmetricmonoidal,
    author = {R. W. Thomason},
    title = {Symmetric Monoidal Categories Model All Connective Spectra},
    booktitle = {THEORY AND APPLICATIONS OF CATEGORIES, 1:78--118},
    year = {1995},
    publisher = {}
}

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Abstract

The classical infinite loopspace machines in fact induce an equivalence of categories between a localization of the category of symmetric monoidal categories and the stable homotopy category of-1-connective spectra.

Keyphrases

infinite loop space zeroth space homotopy category great interest weak equivalence homotopy equivalence gamma omega ad iii classifying space early seventy classical infinite loopspace machine classical example symmetric monoidal category usual homotopy category stable homotopy category of-1-connective spectrum small symmetric monoidal category functor spt stable homotopy category