Timeline for Can we put a probability measure on every $\sigma$-algebra?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Oct 10, 2023 at 4:59 | comment | added | Martin Sleziak | The link in the post no longer works - a current website for Fremlin's book is: www1.essex.ac.uk/maths/people/fremlin/mt.htm and www1.essex.ac.uk/maths/people/fremlin/mt.htm (And here is a Wayback Machine snapshot from 2012.) | |
| Jun 2, 2022 at 17:19 | comment | added | Alexander Pruss | Naive question: What would be an example of a $\sigma$-algebra that is Dedekind complete but not isomorphic to a product of the measure algebras on various $2^\kappa$, and hence does not have a probability measure on it, to answer the original question? | |
| S Apr 16, 2021 at 18:42 | history | suggested | BCLC | CC BY-SA 4.0 |
added link https://en.wikipedia.org/wiki/Maharam%27s_theorem
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| Apr 16, 2021 at 15:59 | review | Suggested edits | |||
| S Apr 16, 2021 at 18:42 | |||||
| Jan 17, 2012 at 13:52 | comment | added | Michael Greinecker | I think one should make this more precise: Every atomless measure algebra is isomorphic to a countable convex combination of "coin flipping measures" with infinite "exponent". Dealing with atoms poses additional difficulties, you cannot construct a single unfair coin flip from fair coin flips. The original paper by Maharam can be found here: pnas.org/content/28/3/… | |
| Jan 17, 2012 at 11:56 | history | answered | Goldstern | CC BY-SA 3.0 |