Symmetric Cubical Sets
Algebraic Topology
2009-10-27 v1 Category Theory
Abstract
We introduce a new cubical model for homotopy types. More precisely, we'll define a category Qs with the following features: Qs is a PROP containing the classical box category as a subcategory, the category Qs-Set of presheaves of sets on Qs models the homotopy category, and combinatorial symmetric monoidal model categories with cofibrant unit all have homotopically well behaved Qs-Set enrichments.
Cite
@article{arxiv.0910.4948,
title = {Symmetric Cubical Sets},
author = {Samuel B. Isaacson},
journal= {arXiv preprint arXiv:0910.4948},
year = {2009}
}
Comments
47 pages