English

A model for the coherent walking $\omega$-equivalence

Category Theory 2024-04-24 v1 Algebraic Topology

Abstract

We prove that a certain ω\omega-category, which was constructed in previous work by the third and fourth author, is a model for the fully coherent walking ω\omega-equivalence. Further, appropriate truncations of it give models for the fully coherent walking nn-equivalence for each n1n\geq1.

Cite

@article{arxiv.2404.14509,
  title  = {A model for the coherent walking $\omega$-equivalence},
  author = {Amar Hadzihasanovic and Félix Loubaton and Viktoriya Ozornova and Martina Rovelli},
  journal= {arXiv preprint arXiv:2404.14509},
  year   = {2024}
}

Comments

20 pages, comments are welcome!

R2 v1 2026-06-28T16:02:48.320Z