English

A Potential Definition of Weak $\omega$-Category

Category Theory 2025-03-03 v2

Abstract

We give a potential alternative definition of a weak infinite dimensional category, in an unbiased fashion, using one one dimensional quiver with composition and extra structure.

Keywords

Cite

@article{arxiv.1312.7697,
  title  = {A Potential Definition of Weak $\omega$-Category},
  author = {Bertalan Pécsi},
  journal= {arXiv preprint arXiv:1312.7697},
  year   = {2025}
}

Comments

This was a naive attempt before the wide acceptance of approaches of infinity-categories