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Jun 22, 2016 at 19:55 vote accept Omar
Jun 22, 2016 at 10:39 comment added Najib Idrissi More generally than this there's factorization homology, which takes into account the right $E_n$-module structure on configuration spaces.
Jun 21, 2016 at 18:16 comment added mme See also this paper of Evans-Lee and Saveliev, which extends these ideas and carries out the relevant calculations to show that a few more pairs of lens spaces are not homeomorphic though they're homotopy equivalent.
Jun 21, 2016 at 17:31 history edited Alex Suciu CC BY-SA 3.0
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Jun 21, 2016 at 17:25 history answered Alex Suciu CC BY-SA 3.0