Multicategories Model All Connective Spectra

There is a free construction from multicategories to permutative categories, left adjoint to the endomorphism multicategory construction. The main result shows that these functors induce an equivalence of homotopy theories. This result extends a similar result of Thomason, that permutative categorie...

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Bibliographic Details
Published in:arXiv.org 2022-03
Main Authors: Johnson, Niles, Yau, Donald
Format: Article
Language:English
Subjects:
Spectra
Online Access:Get full text
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Summary:There is a free construction from multicategories to permutative categories, left adjoint to the endomorphism multicategory construction. The main result shows that these functors induce an equivalence of homotopy theories. This result extends a similar result of Thomason, that permutative categories model all connective spectra.
ISSN:2331-8422
DOI:10.48550/arxiv.2111.08653