Segal spaces, spans, and semicategories
Peer reviewed, Journal article
Accepted version
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Date
2021Metadata
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- Institutt for matematiske fag [2451]
- Publikasjoner fra CRIStin - NTNU [38070]
Original version
Proceedings of the American Mathematical Society. 2021, 149 (3), 961-975. 10.1090/proc/15197Abstract
We show that Segal spaces, and more generally category objects in an -category , can be identified with associative algebras in the double -category of spans in . We use this observation to prove that “having identities” is a property of a non-unital -category.