Timeline for Which homotopy types can be realized as the classifying space of a right-cancellative discrete monoid?
Current License: CC BY-SA 4.0
4 events
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Aug 23, 2019 at 0:26 | comment | added | Tim Campion | Indeed, by subdivision one can represent any homotopy type as the classifying space of a poset, which is both left and right cancellative. But far from being a monoid. | |
Aug 22, 2019 at 21:51 | comment | added | Simon Henry | The category of elements of a semi-simplicial sets is left cancelative. So I don't know for monoid, but at least one can represent any homotopy type as the realization of a left (or right) cancelative category by taking the category of elements (or its opposite) of any semi-simplicial sets representing it. | |
Aug 21, 2019 at 20:05 | answer | added | Phil Tosteson | timeline score: 5 | |
Aug 21, 2019 at 19:36 | history | asked | Tim Campion | CC BY-SA 4.0 |