Timeline for Does Dudley's theorem hold for nonseparable metric spaces?
Current License: CC BY-SA 3.0
16 events
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| S Aug 13, 2013 at 1:20 | history | suggested | Michael Albanese | CC BY-SA 3.0 |
Replaced \\, by \,.
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| Aug 13, 2013 at 1:11 | review | Suggested edits | |||
| S Aug 13, 2013 at 1:20 | |||||
| Oct 25, 2010 at 6:45 | vote | accept | CommunityBot | moved from User.Id=5295 by developer User.Id=481663 | |
| Oct 25, 2010 at 2:06 | answer | added | Gerald Edgar | timeline score: 5 | |
| Oct 24, 2010 at 22:43 | history | edited | Jonas T | CC BY-SA 2.5 |
added 50 characters in body; added 15 characters in body; deleted 38 characters in body
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| Oct 24, 2010 at 22:38 | comment | added | Thierry Zell |
Could you also define $\|f\|_{BL}$?
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| Oct 24, 2010 at 22:27 | comment | added | Jonas T | @Gerald: Okay, but that happens for instance if our space is separable and complete (that all finite Borel measures are tight) and in this question we don't assume separability. Am I missing something? | |
| Oct 24, 2010 at 21:40 | comment | added | Gerald Edgar | If all Borel measures are tight (or just have a separable support set), then your whole sequence has common separable support, so apply the theorem quoted. Now maybe when you say $\mu_i$ you mean not a sequence but a net. For non-tight measures (as least if the metric space is complete) you need to have a (real-valued) measurable cardinal. | |
| Oct 24, 2010 at 21:09 | history | edited | Jonas T | CC BY-SA 2.5 |
added 2 characters in body; added 4 characters in body
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| Oct 24, 2010 at 21:03 | comment | added | Jonas T | @Nate: Okay, done! | |
| Oct 24, 2010 at 21:02 | history | edited | Jonas T | CC BY-SA 2.5 |
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| Oct 24, 2010 at 20:41 | comment | added | Nate Eldredge | Could you give (or link) the definitions of "converges narrowly" and "the bounded Lipschitz metric"? | |
| Oct 24, 2010 at 20:18 | comment | added | Jonas T | @Ricky Demer: Good point, I have changed it to your suggestion. | |
| Oct 24, 2010 at 20:17 | history | edited | Jonas T | CC BY-SA 2.5 |
edited title
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| Oct 24, 2010 at 20:11 | comment | added | user5810 | Please change your title to something like "Does Dudley's theorem hold for nonseparable metric spaces?" because the current title makes it sound like you have what you think is one. | |
| Oct 24, 2010 at 20:01 | history | asked | Jonas T | CC BY-SA 2.5 |