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2025-11-25 07:20:01 UTC
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Jakob on Nostr: nprofile1q…aztfm Of course, if my conjecture holds true, this would imply in ...

Of course, if my conjecture holds true, this would imply in particular that the one-sided condition would imply the two-sided one.

As for the potential counterexample, I'm not sure that I'm following. You are looking two different topologies on X, one of which is indiscrete and the other one of which is something interesting? And then you're looking at X × Y → X where X × Y carries the product topology of the interesting topology on X and the base codomain carries the indiscrete topology? Then the projection is not open, right? And if the roles of the topologies of X are reversed, then the projection is not necessarily continuous.

Maybe I'm misunderstanding.