Segal space
From HandWiki
In mathematics, a Segal space is a simplicial space satisfying some pullback conditions, making it look like a homotopical version of a category. More precisely, a simplicial set, considered as a simplicial discrete space, satisfies the Segal conditions iff it is the nerve of a category. The condition for Segal spaces is a homotopical version of this. Complete Segal spaces were introduced by (Rezk 2001) as models for (∞, 1)-categories.
References
- Rezk, Charles (2001), "A model for the homotopy theory of homotopy theory", Transactions of the American Mathematical Society 353 (3): 973–1007, doi:10.1090/S0002-9947-00-02653-2, ISSN 0002-9947
External links
![]() | Original source: https://en.wikipedia.org/wiki/Segal space.
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