English

Beck-Chevalley Conditions in Simplicial Sets

Algebraic Topology 2025-08-01 v3

Abstract

We describe certain class of simplicial sets introduced by Dmitry Skvortsov and Valentin Shehtman; we call such simplicial sets Skvortsov-Shehtman complexes. An example of a Skvortsov-Shehtman complex that is not a Kan complexes is given.

Cite

@article{arxiv.2507.15341,
  title  = {Beck-Chevalley Conditions in Simplicial Sets},
  author = {Gaga Chakhvashvili},
  journal= {arXiv preprint arXiv:2507.15341},
  year   = {2025}
}
R2 v1 2026-07-01T04:10:42.547Z