English

Classifying Space via Homotopy Coherent Nerve

Algebraic Topology 2023-12-15 v4

Abstract

We prove that the classifying space of a simplicial group is modeled by its homotopy coherent nerve.

Keywords

Cite

@article{arxiv.2208.00550,
  title  = {Classifying Space via Homotopy Coherent Nerve},
  author = {Kensuke Arakawa},
  journal= {arXiv preprint arXiv:2208.00550},
  year   = {2023}
}

Comments

8 pages. Fixed a few typographical errors. Identical to the published version except for a few editorial changes

R2 v1 2026-06-25T01:22:00.625Z