Difference between revisions of "User:Boris Tsirelson/sandbox1"
From Encyclopedia of Mathematics
| Line 11: | Line 11: | ||
\newcommand{\B}{\mathcal B} | \newcommand{\B}{\mathcal B} | ||
\newcommand{\P}{\mathbf P} $ | \newcommand{\P}{\mathbf P} $ | ||
| − | A [[measurable space|Borel space]] $(X,\A)$ is called '''analytic''' if it is [[Measurable space#countably separated|countably separated]] and isomorphic to a | + | A [[measurable space|Borel space]] $(X,\A)$ is called '''analytic''' if it is [[Measurable space#countably separated|countably separated]] and [[Measurable space#isomorphic|isomorphic]] to a [[Measurable space#quotient space|quotient space]] of a |
| − | [[Measurable space#quotient space|quotient space]] of a standard Borel space. | + | [[Standard Borel space|standard]] Borel space. |
====References==== | ====References==== | ||
Revision as of 19:54, 24 January 2012
Also: analytic measurable space
Category:Classical measure theory
[ 2010 Mathematics Subject Classification MSN: 28A05,(03E15,54H05) | MSCwiki: 28A05 + 03E15,54H05 ]
$ \newcommand{\R}{\mathbb R} \newcommand{\C}{\mathbb C} \newcommand{\Om}{\Omega} \newcommand{\A}{\mathcal A} \newcommand{\B}{\mathcal B} \newcommand{\P}{\mathbf P} $ A Borel space $(X,\A)$ is called analytic if it is countably separated and isomorphic to a quotient space of a standard Borel space.
References
| [1] | Alexander S. Kechris, "Classical descriptive set theory", Springer-Verlag (1995). MR1321597 Zbl 0819.04002 |
| [2] | George W. Mackey, "Borel structure in groups and their duals", Trans. Amer. Math. Soc. 85 (1957), 134–165. MR0089999 Zbl 0082.11201 |
How to Cite This Entry:
Boris Tsirelson/sandbox1. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Boris_Tsirelson/sandbox1&oldid=20466
Boris Tsirelson/sandbox1. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Boris_Tsirelson/sandbox1&oldid=20466