Weakly $\omega$-Categorified Models of Algebraic Theories
Category Theory
2020-06-30 v1
Abstract
We provide the expected constructions of weakly -categorified models (in the sense of Bressie) of the theory of groups and quandles which arise by replacing the homotopies used to give equivalence relations in the theory of fundamental groups, fundamental quandles, and knot quandles with homotopies of all orders used as arrows of categorical dimensions one and greater, and discuss other related constructions of weakly -categorifed algebras.
Keywords
Cite
@article{arxiv.2006.15188,
title = {Weakly $\omega$-Categorified Models of Algebraic Theories},
author = {Phillip M Bressie and David N Yetter},
journal= {arXiv preprint arXiv:2006.15188},
year = {2020}
}