Complicial Sets
Category Theory
2008-05-19 v2 Algebraic Topology
Abstract
The primary purpose of this work is to characterise strict \omega-categories as simplicial sets with structure. We prove the Street-Roberts conjecture which states that they are exactly the ``complicial sets'' defined and named by John Roberts in his handwritten notes of that title.
Keywords
Cite
@article{arxiv.math/0410412,
title = {Complicial Sets},
author = {Dominic Verity},
journal= {arXiv preprint arXiv:math/0410412},
year = {2008}
}
Comments
167 pages, AMSLaTeX; minor revisions and typo fixes, reformatted for better A4 printing