English

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

Category Theory 2023-10-12 v3 Algebraic Topology

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

Cite

@article{arxiv.2201.13400,
  title  = {A horn-like characterization of the fibrant objects in the minimal model structure on simplicial sets},
  author = {Matthew Feller},
  journal= {arXiv preprint arXiv:2201.13400},
  year   = {2023}
}

Comments

17 pages; v3: Final version, to appear in Higher Structures