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15 votes
0 answers
1k views

Homotopy equivalence vs weak homotopy equivalence in Gromov's h-principle

My question concerns Gromov's h-principle for open diffeomorphism-invariant partial differential relations on open manifolds; see e.g. Eliashberg/Mishachev: Introduction to the h-principle, §6.2.A and ...
Marc Nardmann's user avatar
7 votes
0 answers
199 views

Central Extension of Continuous Loop Group

For the group $LG$ of smooth loops into a simple compact 1-connected Lie group $G$ there is a well-known universal central extension. My qustion is basically whether this extension also exists for the ...
Christoph Wockel's user avatar
3 votes
2 answers
782 views

Relation between optimal transport cost and difference between topological invariants?

I was working on some mathematics of Wasserstein GAN and found out a seemingly interesting research problem but I am not quite sure whether it has already been studied in some recent literature of ...
Morino_Hikari's user avatar