English

Weakly globular Tamsamani N-categories and their rigidification

Category Theory 2016-09-15 v2

Abstract

We introduce a new class of higher categorical structures called weakly globular Tamsamani n-categories. These generalize the Tamsamani-Simpson model of higher categories by using the new paradigm of weak globularity to weaken higher categorical structures. We prove this new structure is suitably equivalent to a simpler one previously introduced by the author, called weakly globular n-fold categories.

Keywords

Cite

@article{arxiv.1607.04870,
  title  = {Weakly globular Tamsamani N-categories and their rigidification},
  author = {Simona Paoli},
  journal= {arXiv preprint arXiv:1607.04870},
  year   = {2016}
}

Comments

changes made to theorems 7.3 and 7.4. arXiv admin note: text overlap with arXiv:1605.06835

R2 v1 2026-06-22T14:56:42.566Z