Timeline for Extending a finite Baire measure to a regular Borel measure
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 16, 2022 at 3:50 | vote | accept | Pietro Majer | ||
| Jun 9, 2022 at 8:42 | comment | added | Pietro Majer | So here the Baire sets are all countable sets $A\subset X\setminus\{\infty\}$ and all co-countable sets $A\ni\infty$, so that $(X,\text{Ba},\mu)$ is already a complete measure space, but the Borel σ-algebra is the whole $P(X)$. | |
| Jun 9, 2022 at 5:21 | comment | added | Nik Weaver | It looks like all you need is a point $x$ such that $\{x\}$ is not a Baire set. So e.g. you could take $x = \infty$ in the one point compactification of any uncountable discrete set. | |
| Jun 9, 2022 at 2:11 | history | answered | user95282 | CC BY-SA 4.0 |