Timeline for The cardinality of projections of subsets of the Hilbert cube by inner products
Current License: CC BY-SA 4.0
15 events
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| Apr 8 at 20:31 | comment | added | Boaz Tsaban | @HenrikRüping why is the map f that you defined linear? Consider f(a+a') such that <a,b> converges and <a',b> diverges. Then <a+a',b> diverges so f(a+a')=0, whereas f(a)+f(a')=<a,b>+0=<a,b>. | |
| Mar 28 at 15:54 | history | edited | Boaz Tsaban | CC BY-SA 4.0 |
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| Mar 28 at 15:49 | vote | accept | Boaz Tsaban | ||
| Mar 25 at 18:58 | answer | added | Colin McQuillan | timeline score: 3 | |
| Mar 18 at 11:24 | history | edited | Boaz Tsaban | CC BY-SA 4.0 |
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| Mar 18 at 11:24 | comment | added | Boaz Tsaban | @AlexanderOsipov indeed, I noticed this paper today and it is indeed interesting (despite not having direct implication on my question). | |
| Mar 18 at 6:44 | comment | added | Alexander Osipov | You might be interested in the answer to my old question: arxiv.org/abs/2403.09785 | |
| Mar 16 at 21:30 | history | edited | Boaz Tsaban | CC BY-SA 4.0 |
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| Mar 15 at 9:12 | comment | added | Boaz Tsaban | @HenrikRüping That would be interesting, too! In fact, if one could prove that for each $X$ of size continuum there is a uniformly continuous map with image of cardinality continuum, that would be equally interesting for me. However, I cannot see a manageable way to tackle this problem other than considering linear maps of the form I suggested. | |
| Mar 15 at 8:44 | comment | added | HenrikRüping | What happens if one just requires the map just to be a linear map instead of being given this way ? (There are more linear maps, like for example the linear map that sends $x_*$ to the sum, if it converges and to zero otherwise). | |
| Mar 14 at 22:47 | history | edited | Boaz Tsaban | CC BY-SA 4.0 |
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| Mar 14 at 11:22 | comment | added | Colin McQuillan | In the same vein: mathoverflow.net/questions/330255/… | |
| Mar 14 at 10:18 | history | edited | YCor | CC BY-SA 4.0 |
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| Mar 14 at 8:51 | history | edited | Boaz Tsaban |
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| Mar 13 at 20:42 | history | asked | Boaz Tsaban | CC BY-SA 4.0 |