Configuration spaces are not homotopy invariant

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dc.creatorLongoni, Riccardo
dc.creatorSalvatore, Paolo
dc.date2004-01-08
dc.date.accessioned2026-07-07T05:04:26Z
dc.date.available2026-07-07T05:04:26Z
dc.descriptionWe 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.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0401075
dc.identifierhttp://arxiv.org/abs/math/0401075
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69802
dc.subjectAlgebraic Topology
dc.subject55R80; 55S30
dc.titleConfiguration spaces are not homotopy invariant
dc.typetext

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