English

Categorical Theory of $(\infty,\omega)$-Categories

Category Theory 2024-11-26 v2

Abstract

This text is dedicated to the development of the theory of (,ω)(\infty,\omega)-categories. We present generalizations of standard results from category theory, such as the lax Grothendieck construction, the Yoneda lemma, lax (co)limits and lax Kan extensions, among others.

Keywords

Cite

@article{arxiv.2406.05425,
  title  = {Categorical Theory of $(\infty,\omega)$-Categories},
  author = {Félix Loubaton},
  journal= {arXiv preprint arXiv:2406.05425},
  year   = {2024}
}

Comments

239 pages, comments are welcome! This text is based on the author's thesis. arXiv admin note: substantial text overlap with arXiv:2307.11931