Configuration spaces and R^n
Algebraic Topology
2007-05-23 v1
Abstract
This note attempts to make clear the relation between configurations of points in a space Y and those in its Cartesian product with the reals. We show that under certain conditions there is an equivalence between C(Y x R^n, X) and the n-th loop space of C(Y,S^n(X)).
Keywords
Cite
@article{arxiv.math/0605287,
title = {Configuration spaces and R^n},
author = {Jeffrey L. Caruso},
journal= {arXiv preprint arXiv:math/0605287},
year = {2007}
}