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arXiv:2111.08653 [math.AT]AbstractReferencesReviewsResources

Multicategories Model All Connective Spectra

Niles Johnson, Donald Yau

Published 2021-11-16, updated 2022-03-19Version 2

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.

Comments: 24 pages. To appear in Homology, Homotopy, and Applications. We discuss multifunctoriality of the free construction in arXiv:2202.13659
Categories: math.AT, math.CT, math.KT
Subjects: 18M65, 55P42, 18M05
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