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Timeline for Show convergence result

Current License: CC BY-SA 4.0

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Mar 21 at 12:30 comment added Star I have bene thinking a lot about this problem and I believe that I was considering the wrong objects. So, I have moved my focus to some slightly different sets. If possible, could yo take a look at my new question here mathoverflow.net/questions/467446/show-convergence-of-sets
Feb 28 at 14:49 comment added Iosif Pinelis @Star : Please post additional questions in separate posts.
Feb 27 at 15:07 comment added Iosif Pinelis @Star : Yes, I think any additional questions should be posted elsewhere. However, it is clear that the continuity of $\ell$ and $u$ cannot help, as they are continuous in my example. On the other hand, $\ell$ and $u$ are not bijective in my example. So, you may want to think in that direction.
Feb 21 at 16:58 history bounty ended Star
Feb 21 at 16:58 vote accept Star
Feb 18 at 2:04 history answered Iosif Pinelis CC BY-SA 4.0