%0 Journal Article
%T On the category of Euclidean configuration spaces and associated fibrations
%A Fridolin Roth
%J Mathematics
%D 2009
%I arXiv
%R 10.2140/gtm.2008.13.447
%X 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.
%U http://arxiv.org/abs/0904.1013v1