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Physical Sciences and Engineering Mathematics Geometry and Topology

Configuration spaces are not homotopy invariant

Article ID Journal Published Year Pages File Type
9516357 Topology 2005 6 Pages PDF
Abstract
We present a counterexample to the conjecture on the homotopy invariance of configuration spaces. More precisely, we consider the lens spaces L7,1 and L7,2, and prove that their configuration spaces are not homotopy equivalent by showing that their universal coverings have different Massey products.
Keywords
Massey productsConfiguration spaces
Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
Preview
Configuration spaces are not homotopy invariant
Authors
Riccardo Longoni, Paolo Salvatore,
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Journal
Topology
Journal: Topology
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