English

On complicial homotopy monoids

Algebraic Topology 2020-11-20 v3 Combinatorics Category Theory

Abstract

For a Kan complex with a vertex, we have the notion of its simplicial homotopy groups. In this paper, for a weak complicial set in the sense of Verity with a vertex, we construct monoids which are a generalization of simplicial homotopy groups.

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Cite

@article{arxiv.2006.05058,
  title  = {On complicial homotopy monoids},
  author = {Ryo Horiuchi},
  journal= {arXiv preprint arXiv:2006.05058},
  year   = {2020}
}

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R2 v1 2026-06-23T16:10:07.575Z