Parsummable categories as a strictification of symmetric monoidal categories

Lenz, Tobias

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Parsummable categories as a strictification of symmetric monoidal categories

MPS-Authors

/persons/resource/persons238846

Lenz, Tobias
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

http://www.tac.mta.ca/tac/volumes/37/17/37-17abs.html
(Publisher version)

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

Lenz_Parsummable categories as a strictification of symmetric monoidal categories_2021.pdf
(Publisher version), 575KB

Supplementary Material (public)

There is no public supplementary material available

Citation

Lenz, T. (2021). Parsummable categories as a strictification of symmetric monoidal categories. Theory and Applications of Categories, 37(17), 482-529.

Cite as: https://hdl.handle.net/21.11116/0000-0008-B262-0

Abstract

We prove that the homotopy theory of parsummable categories (as defined by
Schwede) with respect to the underlying equivalences of categories is
equivalent to the usual homotopy theory of symmetric monoidal categories. In
particular, this yields a model of symmetric monoidal categories in terms of
categories equipped with a strictly commutative, associative, and unital (but
only partially defined) operation.