English

Higher categories

Category Theory 2024-01-26 v1 Algebraic Topology

Abstract

Invited contribution to the Encyclopedia of Mathematical Physics. We give an introduction to the homotopical theory of higher categories, focused on motivating the definitions of the basic objects, namely \infty-categories and (,n)(\infty,n)-categories.

Keywords

Cite

@article{arxiv.2401.14311,
  title  = {Higher categories},
  author = {Rune Haugseng},
  journal= {arXiv preprint arXiv:2401.14311},
  year   = {2024}
}

Comments

33 pages; contribution to Encyclopedia of Mathematical Physics, 2nd ed