Timeline for Does every separated measurable space embed into a power of $\{0,1\}$?
Current License: CC BY-SA 3.0
16 events
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| Apr 13, 2017 at 12:19 | history | edited | CommunityBot |
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| Feb 28, 2014 at 14:39 | answer | added | Gerald Edgar | timeline score: 0 | |
| Feb 28, 2014 at 12:55 | vote | accept | Tobias Fritz | ||
| Feb 28, 2014 at 3:59 | answer | added | Joseph Van Name | timeline score: 4 | |
| Feb 28, 2014 at 0:21 | answer | added | Nate Eldredge | timeline score: 3 | |
| Feb 27, 2014 at 22:20 | comment | added | Tobias Fritz | @Joseph: I updated the question to reflect your correction. A more detailed answer would be great! | |
| Feb 27, 2014 at 22:18 | history | edited | Tobias Fritz | CC BY-SA 3.0 |
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| Feb 27, 2014 at 22:02 | comment | added | Joseph Van Name | I think the countable and cocountable sets would be a counterexample for the Borel sets. | |
| Feb 27, 2014 at 21:31 | comment | added | Tobias Fritz | @Joseph: you're right. I will have to think about it a bit more. Sorry for the confusion... | |
| Feb 27, 2014 at 21:19 | comment | added | Joseph Van Name | The smallest $\sigma$-algebra making each projection measurable is not the Borel $\sigma$-algebra when $\kappa$ is uncountable but rather the Baire $\sigma$-algebra. For instance, every one-point set is a Borel set, but not a Baire set. I am therefore confused about whether this question refers to the Borel sets of the Baire sets. | |
| Feb 27, 2014 at 21:09 | vote | accept | Tobias Fritz | ||
| Feb 27, 2014 at 23:22 | |||||
| Feb 27, 2014 at 20:52 | history | edited | Tobias Fritz | CC BY-SA 3.0 |
clarified the question after a request in the comments
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| Feb 27, 2014 at 20:44 | comment | added | Tobias Fritz | @Joel: yes, that's exactly what I mean. I'll clarify the question accordingly. | |
| Feb 27, 2014 at 20:40 | comment | added | Joel David Hamkins | Could you clarify the question a bit more precisely? When you say "a measurable subset of $\{0,1\}^\kappa$", do you mean a Borel subset of that space, considered with the product topology? And then you want the isomorphism to take the sets in $\Sigma$ exactly to the Borel subsets of that Borel set? | |
| Feb 27, 2014 at 20:22 | history | edited | Tobias Fritz | CC BY-SA 3.0 |
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| Feb 27, 2014 at 20:16 | history | asked | Tobias Fritz | CC BY-SA 3.0 |