Timeline for Are Hölder functions between Banach spaces residual in the compact-open topology?
Current License: CC BY-SA 4.0
7 events
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Jun 14, 2022 at 11:46 | comment | added | ABIM | @YCor Fair I will do this; or (next time) update any question accordingly. Thanks YCor for the tip. | |
Jun 14, 2022 at 11:12 | comment | added | YCor | You've been asking 4 questions in less than 24h mathoverflow.net/questions/424645/…, mathoverflow.net/questions/424670, now-deleted mathoverflow.net/questions/424630. I'd recommend to more thoroughly think about them before posting. | |
Jun 14, 2022 at 11:06 | comment | added | YCor | You seem to ask many similar questions ("is P residual in Q" where in most cases the answer is strongly negative since the complement of P is residual). In any case here you have a subspace of a space. A proper subspace of a Hausdorff topological space is never residual, since it's disjoint to some of its translates. | |
Jun 14, 2022 at 10:52 | comment | added | ABIM | @PietroMajer Would you happen to have a reference to this last fact? | |
Jun 14, 2022 at 9:26 | comment | added | Pietro Majer | And if i'm not wrong, even "Lipschitz maps with range in finite dimensional subspaces" are a dense subset of C(X,Y) wrto the c.o. topology. | |
Jun 14, 2022 at 9:18 | comment | added | Pietro Majer | C*(X,Y) is a countable union of closed sets with empty interior. (Also note that the compact open topology on C(X,Y) is not metrizable in general). | |
Jun 14, 2022 at 8:41 | history | asked | ABIM | CC BY-SA 4.0 |