Configuration spaces are not homotopy invariant

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We present a counterexample to the conjecture on the homotopy invariance of configuration spaces. More precisely, we consider the lens spaces $L_{7,1}$ and $L_{7,2}$, and prove that their configuration spaces are not homotopy equivalent by showing that their universal coverings have different Massey products.
6 pages

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Algebraic Topology, 55R80; 55S30

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http://salesiana.dossiersoluciones.com/handle/123456789/69802

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0401075
 http://arxiv.org/abs/math/0401075

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arXiv