On the category of Euclidean configuration spaces and associated fibrations
Algebraic Topology
2009-04-08 v1 General Topology
Abstract
We calculate the Lusternik-Schnirelmann category of the k-th ordered configuration spaces F(R^n,k) of R^n and give bounds for the category of the corresponding unordered configuration spaces B(R^n,k) and the sectional category of the fibrations pi^n_k: F(R^n,k) --> B(R^n,k). We show that secat(pi^n_k) can be expressed in terms of subspace category. In many cases, eg, if n is a power of 2, we determine cat(B(R^n,k)) and secat(pi^n_k) precisely.
Keywords
Cite
@article{arxiv.0904.1013,
title = {On the category of Euclidean configuration spaces and associated fibrations},
author = {Fridolin Roth},
journal= {arXiv preprint arXiv:0904.1013},
year = {2009}
}
Comments
This is the version published by Geometry & Topology Monographs on 19 March 2008