Configurations spaces and Theta_n
Algebraic Topology
2013-02-12 v1
Abstract
We demonstrate that Joyal's category Theta_n, which is central to numerous definitions of (infinity,n)-categories, naturally encodes the homotopy type of configuration spaces of marked points in R^n. This article is largely self-contained and uses only elementary techniques in combinatorics and homotopy theory.
Keywords
Cite
@article{arxiv.1202.2806,
title = {Configurations spaces and Theta_n},
author = {David Ayala and Richard Hepworth},
journal= {arXiv preprint arXiv:1202.2806},
year = {2013}
}
Comments
12 pages