Timeline for Points of continuity of Baire class one functions
Current License: CC BY-SA 3.0
14 events
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| Sep 1, 2018 at 7:52 | comment | added | Martin Sleziak | The Wikipedia article Baire function (current revision) mentions that "By another theorem of Baire, for every Baire-1 function the points of continuity are a comeager $G_\delta$ set" and gives Theorem 24.14 in Kechris' Classical Descriptive Set Theory as a reference. | |
| S Dec 15, 2015 at 19:33 | history | suggested | AMal | CC BY-SA 3.0 |
The previous statement was incorrect: a function which is continuous except a meager set needn't belong to Baire class one. (Actually, it needn't be even Borel measurable.)
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| Dec 15, 2015 at 18:59 | review | Suggested edits | |||
| S Dec 15, 2015 at 19:33 | |||||
| Jul 16, 2010 at 11:15 | comment | added | Andrey Rekalo | @Gerry: Thank you for the reference. | |
| Jul 16, 2010 at 0:27 | comment | added | Gerry Myerson | When I wrote a paper, First-Class Functions, for the Monthly nearly 20 years ago, I found the book, van Rooij and Schikhof, A Second Course on Real Functions, to be very useful. | |
| Jul 15, 2010 at 22:39 | history | edited | Andrey Rekalo | CC BY-SA 2.5 |
Link added
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| Jul 15, 2010 at 17:43 | comment | added | Andrey Rekalo | You're welcome. It's a pity that these basic results are not mentioned in the related Wikipedia articles. | |
| Jul 15, 2010 at 17:14 | history | edited | Andrey Rekalo | CC BY-SA 2.5 |
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| Jul 15, 2010 at 17:00 | history | edited | Andrey Rekalo | CC BY-SA 2.5 |
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| Jul 15, 2010 at 16:58 | comment | added | Pete L. Clark | Thanks very much. So I must have seen this before and remembered it but then gotten a little nervous because the results of my google search did not quite match up with my memory. MO to the rescue, as usual. | |
| Jul 15, 2010 at 16:56 | vote | accept | Pete L. Clark | ||
| Jul 15, 2010 at 16:52 | comment | added | Pete L. Clark | Could you give a reference? | |
| Jul 15, 2010 at 16:51 | history | edited | Andrey Rekalo | CC BY-SA 2.5 |
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| Jul 15, 2010 at 16:45 | history | answered | Andrey Rekalo | CC BY-SA 2.5 |