Timeline for Relation between optimal transport cost and difference between topological invariants?
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May 24, 2020 at 12:59 | comment | added | Qfwfq | As noticed in the other comment, punctured disk and circle are not diffeomorphic. Also, the first Betti number of the punctured disk is not zero (if I understand correctly, what you denote by $D^1$ is the unit disk). | |
May 24, 2020 at 12:34 | comment | added | Ben McKay | The notation $D^1$ for the unit disk is not very pleasant. Perhaps just $D$. Superscripts are usually for dimensions. I don't agree that the punctured unit disk is diffeomorphic to the circle. | |
Dec 1, 2018 at 1:45 | history | answered | Morino_Hikari | CC BY-SA 4.0 |