%0 Journal Article
%T On the homotopy invariance of configuration spaces
%A Mokhtar Aouina
%A John R. Klein
%J Mathematics
%D 2003
%I arXiv
%R 10.2140/agt.2004.4.813
%X For a closed PL manifold M, we consider the configuration space F(M,k) of ordered k-tuples of distinct points in M. We show that a suitable iterated suspension of F(M,k) is a homotopy invariant of M. The number of suspensions we require depends on three parameters: the number of points k, the dimension of M and the connectivity of M. Our proof uses a mixture of Poincare embedding theory and fiberwise algebraic topology.
%U http://arxiv.org/abs/math/0310483v3