Timeline for Are topological PID's Noetherian?
Current License: CC BY-SA 4.0
15 events
| when toggle format | what | by | license | comment | |
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| Sep 26, 2023 at 23:26 | history | bounty ended | Nik Weaver | ||
| Sep 26, 2023 at 23:26 | vote | accept | Nik Weaver | ||
| Sep 26, 2023 at 23:26 | comment | added | Nik Weaver | This is fantastic, thank you! | |
| Sep 26, 2023 at 9:28 | history | edited | Alex Ravsky | CC BY-SA 4.0 |
Improved Proposition 4 to $R$ which is a union of less than $\mathfrak c$ many compact sets.
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| Sep 25, 2023 at 23:03 | comment | added | Nik Weaver | The case where $|R| \leq 2^{\aleph_0}$ would satisfy me. | |
| Sep 25, 2023 at 20:20 | comment | added | Alex Ravsky | @NikWeaver A couple of hours ago I discussed your question with Taras Banakh and it seems now I can answer it affirmatively when $R$ is a union of less than $\frak c$ many compact sets. | |
| Sep 24, 2023 at 13:54 | comment | added | Nik Weaver | Well, good luck, udacha! | |
| Sep 24, 2023 at 8:30 | comment | added | Alex Ravsky | @NikWeaver I rewrote the answer. I looked for useful results about structure of locally compact topological rings, but, maybe I need to know more results to answer the locally compact question case, by proving the conjecture or by constructing a counterexample to it. Anyway, I continue to deal with the conjecture. | |
| Sep 24, 2023 at 8:30 | history | edited | Alex Ravsky | CC BY-SA 4.0 |
added 2132 characters in body
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| Sep 23, 2023 at 0:32 | comment | added | Nik Weaver | First question, how does Theorem 1 apply to our situation? Does topological PID imply the ascending chain condition on ideals? | |
| Sep 22, 2023 at 22:18 | comment | added | Nik Weaver | Okay, this looks promising. Let me think it through. | |
| Sep 22, 2023 at 13:33 | history | undeleted | Alex Ravsky | ||
| Sep 22, 2023 at 13:33 | history | edited | Alex Ravsky | CC BY-SA 4.0 |
deleted 68 characters in body
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| Sep 22, 2023 at 13:30 | history | deleted | Alex Ravsky | via Vote | |
| Sep 22, 2023 at 13:18 | history | answered | Alex Ravsky | CC BY-SA 4.0 |