English

On loop spaces with marking

Algebraic Topology 2021-04-27 v1 Category Theory

Abstract

An analogous construction of simplicial homotopy group for Kan complex can be applied to saturated complicial sets to give monoids. In this paper, we investigate how the construction of loop spaces of Kan complexes lifts to the complicial setting and relates to such monoids.

Keywords

Cite

@article{arxiv.2104.11860,
  title  = {On loop spaces with marking},
  author = {Ryo Horiuchi},
  journal= {arXiv preprint arXiv:2104.11860},
  year   = {2021}
}
R2 v1 2026-06-24T01:28:41.971Z