Timeline for Reflexive double dual in condensed math
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| Apr 17, 2022 at 20:23 | comment | added | Peter Scholze | You are right that in the non-derived setting, you get the Banach-Smith duality (and in general you get the compact-open topology, so likely nonderived biduality more generally for "stereotype" spaces). In the derived setting, things are much more subtle however! The derived dual of a Smith is the corresponding Banach (concentrated in degree 0), but I expect that for most infinite-dimensional Banach spaces, the derived dual sits in many degrees. This is related to this entropy nonsense (which gives Ext^1's of l^1 against R), but also to whether the continuum hypothesis holds or so. | |
| Apr 6, 2022 at 5:30 | history | edited | Francesco Polizzi | CC BY-SA 4.0 |
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| Apr 6, 2022 at 1:48 | history | edited | user30211 | CC BY-SA 4.0 |
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| Apr 4, 2022 at 19:00 | history | edited | user30211 | CC BY-SA 4.0 |
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| Apr 4, 2022 at 1:37 | history | edited | user30211 | CC BY-SA 4.0 |
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| Apr 4, 2022 at 1:34 | history | undeleted | user104513 | ||
| Apr 4, 2022 at 0:07 | history | deleted | user104513 | via Vote | |
| Apr 3, 2022 at 23:59 | history | edited | user30211 | CC BY-SA 4.0 |
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| Apr 3, 2022 at 23:53 | history | edited | user30211 | CC BY-SA 4.0 |
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| Apr 3, 2022 at 23:20 | history | asked | user30211 | CC BY-SA 4.0 |