Timeline for Forward definition of measurability
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 28, 2023 at 17:00 | vote | accept | Moritz Schauer | ||
| Aug 28, 2023 at 16:59 | answer | added | Moritz Schauer | timeline score: 2 | |
| Aug 27, 2023 at 16:53 | history | became hot network question | |||
| Aug 27, 2023 at 13:03 | answer | added | Joseph Van Name | timeline score: 14 | |
| Aug 27, 2023 at 11:47 | comment | added | Alessandro Della Corte | Yes, but in a more relaxed sense. I thought you wanted something like "$f$ is measurable iff $f(\mu(A))\subset \nu(f(A))$", with $A$ an arbitrary subset of $X$ and $\mu$, $\nu$ some set operators defined on the power set of $X$ and $Y$. | |
| Aug 27, 2023 at 11:35 | comment | added | Moritz Schauer | I don’t see that, for example a Borel measurable function is the point wise limit of simple functions which could be considered a forward characterisation | |
| Aug 27, 2023 at 9:58 | comment | added | Alessandro Della Corte | Just a quick note: since non-measurable functions are defined through some use of the AoC, I don’t think that you can have an equivalent definition, of the form you want, involving such a “nice” set operator as the closure operator is. | |
| Aug 27, 2023 at 8:52 | history | asked | Moritz Schauer | CC BY-SA 4.0 |