Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9516357 | Topology | 2005 | 6 Pages |
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
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Riccardo Longoni, Paolo Salvatore,