Timeline for On the existence of a family of countably additive extensions of Lebesgue measure
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 20, 2019 at 18:24 | vote | accept | aduh | ||
| Dec 20, 2019 at 9:50 | comment | added | Ashutosh | I posted some details and references. | |
| Dec 20, 2019 at 9:49 | answer | added | Ashutosh | timeline score: 10 | |
| Dec 20, 2019 at 8:23 | comment | added | aduh | @Ashutosh Thanks. I quickly skimmed the papers and didn't find the relevant result, but I think I just don't have the background to understand what's going on. If you'd like to explain in a bit more detail how to answer my question with references to specific results in these papers, that would be much appreciated, and I'd be happy to accept your answer. | |
| Dec 19, 2019 at 23:14 | comment | added | aduh | @Ashutosh Also, could you please provide a link to or the title of the Gitik and Shelah paper that you have in mind? Thanks | |
| Dec 19, 2019 at 22:52 | comment | added | aduh | @Ashutosh Sorry, what is rvm? | |
| Dec 19, 2019 at 21:53 | comment | added | Ashutosh | If the cardinality of A is smaller than the least rvm, then it is null in any total extension of m. By a theorem of Gitik and Shelah, there is a set of cardinality $\aleph_1$ with outer measure one. So the answer is no. | |
| Dec 19, 2019 at 7:20 | comment | added | aduh | @AsafKaragila Good point, I changed the notation. | |
| Dec 19, 2019 at 7:19 | history | edited | aduh | CC BY-SA 4.0 |
deleted 60 characters in body
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| Dec 19, 2019 at 7:17 | comment | added | Asaf Karagila♦ | I know $\lambda$ is not an uncommon notation for the Lebesgue measure, but it is also a common choice of letter for an infinite cardinal. In that case $\lambda^+$ really confused me on a first reading... | |
| Dec 19, 2019 at 5:36 | history | asked | aduh | CC BY-SA 4.0 |