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Segal spaces, spans, and semicategories

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 نشر من قبل Rune Haugseng
 تاريخ النشر 2019
  مجال البحث
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 تأليف Rune Haugseng




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We show that Segal spaces, and more generally category objects in an $infty$-category $mathcal{C}$, can be identified with associative algebras in the double $infty$-category of spans in $mathcal{C}$. We use this observation to prove that having identities is a property of a non-unital $(infty,n)$-category.



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