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Configuration spaces and R^n

Jeffrey L. Caruso
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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)).

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Jeffrey L. Caruso. 2006-05-11. Configuration spaces and R^n. https://arxiv.org/abs/math/0605287

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