Timeline for Two standard probability spaces
Current License: CC BY-SA 3.0
5 events
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Apr 30, 2012 at 6:32 | comment | added | Michael Greinecker | For Standard Borel spaces and, more generally, analytic spaces, this has been shown by Blackwell in On a Class of Probability Spaces, Corollary 1. The argument should extend to completions of standard Borel spaces. | |
Apr 30, 2012 at 1:52 | comment | added | George Lowther | Your statement is Theorem 2b on the EOM page on standard probability spaces (encyclopediaofmath.org/index.php/…). | |
Apr 30, 2012 at 1:41 | comment | added | George Lowther | I don't see it explicitly stated. But, it follows from the fact that that complete perfect measures on a Borel space are Radon, and the domain of a Radon measure is uniquely determined by its values on Borel sets. | |
Apr 30, 2012 at 0:10 | comment | added | George Lowther | This should follow from the fact that a standard space is perfect. I expect that there is a reference in Fremlin, measure theory for this (I'll have a look...). | |
Apr 29, 2012 at 22:43 | history | asked | Fedor Petrov | CC BY-SA 3.0 |