Timeline for Baire category theorem
Current License: CC BY-SA 2.5
13 events
| when toggle format | what | by | license | comment | |
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| Feb 9, 2010 at 22:35 | vote | accept | has2 | ||
| Jan 19, 2010 at 8:26 | vote | accept | has2 | ||
| Feb 9, 2010 at 22:35 | |||||
| Jan 19, 2010 at 8:26 | comment | added | has2 | Many thanks for the answers and the comments. The responses below has been equally enlightening to me. A coin flip decided which one of them to be the accepted answer. | |
| Jan 19, 2010 at 8:10 | history | edited | has2 | CC BY-SA 2.5 |
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| Jan 19, 2010 at 7:55 | history | edited | has2 | CC BY-SA 2.5 |
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| Jan 19, 2010 at 7:50 | history | edited | has2 | CC BY-SA 2.5 |
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| Jan 19, 2010 at 5:45 | answer | added | Dima Fon-Der-Flaass | timeline score: 0 | |
| Jan 18, 2010 at 23:23 | history | edited | Yemon Choi |
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| Jan 18, 2010 at 23:20 | comment | added | abcdxyz | In general, it is hard to improve further without maybe doing something like Leonid suggested since you have no control over $A_n$. | |
| Jan 18, 2010 at 23:14 | answer | added | 002 | timeline score: 2 | |
| Jan 18, 2010 at 23:11 | comment | added | abcdxyz | Your fact 2' can be simplified as for every $x \in X$ a neighborhood of $x$ us contained in some $\bar{A_n}$. Your statement implies this. Also taking any neighborhood of $x$, intersect it with our chosen neighborhood, then choose an open ball within it. So the statement also implies your statement. In fact, Your question is not so much about ball, more about open set. | |
| Jan 18, 2010 at 23:06 | answer | added | gowers | timeline score: 4 | |
| Jan 18, 2010 at 22:56 | history | asked | has2 | CC BY-SA 2.5 |