Timeline for The set of ergodic mesures being $G_\delta$: about a theorem of K. R. Parthasarathy
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| S Apr 15, 2017 at 4:16 | history | suggested | kjetil b halvorsen | CC BY-SA 3.0 |
Removed superfluous thank you
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| Apr 15, 2017 at 2:46 | review | Suggested edits | |||
| S Apr 15, 2017 at 4:16 | |||||
| Apr 14, 2017 at 22:17 | review | Close votes | |||
| Apr 15, 2017 at 1:39 | |||||
| Apr 14, 2017 at 21:56 | history | edited | YCor | CC BY-SA 3.0 |
made title give a clue about the topic; improved typo
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| Apr 14, 2017 at 17:44 | comment | added | Eleonora Catsigeras | Dear David: Thank you very much. Clearly, my mistake was to believe that a $G_{\delta}$ set denoted a set that contains a countable intersection of open and dense sets (in a Baire Space). | |
| Apr 14, 2017 at 16:55 | answer | added | coudy | timeline score: 2 | |
| Apr 14, 2017 at 16:55 | comment | added | David Handelman | Theorem 2.1 says that the set of ergodic measures is a G$_\delta$ in the space of probability measures (that is, an intersection of open sets)---it does not say that it is a dense G$_\delta$. There are of course many interesting self-homeomorphisms of compact metric spaces with any specified finite number of ergodic measures. | |
| Apr 14, 2017 at 16:23 | review | First posts | |||
| Apr 14, 2017 at 16:26 | |||||
| Apr 14, 2017 at 16:19 | history | asked | Eleonora Catsigeras | CC BY-SA 3.0 |