Higher Structures, Vol. 7, No. 1, pp. 166-181, 2023


A horn-like characterization of the fibrant objects in the minimal model structure on simplicial sets

Matt Feller

Received February 13th 2022. Published online May 21st 2023.

Abstract:  We show that the fibrant objects in the minimal model structure on the category of simplicial sets are characterized by a lifting condition with respect to maps which resemble the horn inclusions that define Kan complexes.
Keywords:  Minimal model structure; simplicial sets
Classification MSC:  18N40, 18N50

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