Timeline for Is every Polish ring topology on $\mathbb{C}$ defined by an absolute value?
Current License: CC BY-SA 3.0
15 events
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| S Apr 9, 2021 at 7:06 | history | bounty ended | CommunityBot | ||
| S Apr 9, 2021 at 7:06 | history | notice removed | CommunityBot | ||
| Apr 3, 2021 at 17:17 | answer | added | Gerald Edgar | timeline score: 1 | |
| Apr 2, 2021 at 16:32 | comment | added | Gerald Edgar | I added my example. Levi-Cevita did not work, you need more (and less). The added question about "defined by a valuation" would be interesting. | |
| Apr 2, 2021 at 6:28 | comment | added | Uri Bader | @GeraldEdgar My question regards indeed $[0,\infty)$ valued absolute values, but I certainly welcome more generous interpretation of it, eg: "Is every Polish ring topology on C defined by a valuation?". I do not understand your suggestion regarding the Levi-Civita field - Isn't it defined by a valuation a priori? | |
| Apr 1, 2021 at 15:17 | comment | added | Gerald Edgar | Your absolute value has values in $[0,+\infty)$? Maybe for a counterexample try the Levi-Civita field (extended by adding $i$). Maybe we get a larger value group. | |
| S Apr 1, 2021 at 6:06 | history | bounty started | Noah Schweber | ||
| S Apr 1, 2021 at 6:06 | history | notice added | Noah Schweber | Draw attention | |
| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| May 14, 2016 at 15:47 | history | edited | Uri Bader |
edited tags
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| May 14, 2016 at 15:31 | comment | added | Uri Bader | @YCor, thanks for your comments. An edit was made in order to clarify things. | |
| May 14, 2016 at 15:30 | history | edited | Uri Bader | CC BY-SA 3.0 |
added 470 characters in body; edited title
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| May 13, 2016 at 22:23 | comment | added | YCor | By "comes from an absolute value", do you mean, given by a complete (multiplicative) norm? | |
| May 13, 2016 at 22:22 | comment | added | YCor | About the note: in $\mathbf{C}$, the modular fonction yields $\Delta(2)=4$, while $|2|=2$. | |
| May 13, 2016 at 22:18 | history | asked | Uri Bader | CC BY-SA 3.0 |