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Jul 17, 2018 at 14:21 vote accept Manuel Bärenz
Jul 17, 2018 at 14:13 comment added Arun Debray @SaalHardali that is a good point, but there are generalizations of Pontrjagin-Thom theory to PL and topological manifolds: see here for some references.
Jul 17, 2018 at 13:48 comment added Saal Hardali Just a trivial observation: There's a sense in which the Cobordism Hypothesis is a (far reaching) generalization of the Pontryagin Thom theorem about bordism groups. However, the latter relies very heavily on transverality (and is in fact false for topological manifolds). So a topological analog would have to somehow exclude this part of the story.
Jul 17, 2018 at 13:45 answer added Noah Snyder timeline score: 11
Jul 17, 2018 at 13:31 history edited Manuel Bärenz CC BY-SA 4.0
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Jul 17, 2018 at 11:27 history asked Manuel Bärenz CC BY-SA 4.0