Configuration spaces and R^n

Details Configuration spaces and R^n Configuration spaces and R^n

2006-05-11

arxiv.org/abs/math/0605287v1

Mathematics

Algebraic Topology

Scientific paper

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)).

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