Timeline for Measurability of a map involving probability measures
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
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| 2 hours ago | comment | added | user95282 | @triple_sec Answers to (i) and (ii) are in sections 7.2 and 8.3 of Bogachev's "Measure Theory" (2007). Answer to (iii) will take longer. | |
| 20 hours ago | comment | added | triple_sec | Thank you for your answer. I don’t seem to fully understand your arguments, though. In particular, I wonder in Case II (i) how the non-existence of real-measurable cardinals implies that every countably additive probability measure on $(X,\mathscr B_X)$ is $\tau$-additive; (ii) how that, in turn, implies that the weak-star topology on $\Delta X$ is metrizable; and (iii) how the metrizability of that topology implies that $\mathscr B_{\Delta X}\subseteq\mathscr F$. Do these implications follow from Fremlin’s treatise? | |
| yesterday | history | answered | user95282 | CC BY-SA 4.0 |