Difference between revisions of "User:Boris Tsirelson/sandbox1"
From Encyclopedia of Mathematics
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| + | '''Theorem 4a.''' If $(X,\B)$ is a standard Borel | ||
| + | space, $(Y,\A)$ a countably separated measurable space, and $f:X\to Y$ | ||
| + | a measurable one-to-one map then $f(X)$ is measurable. | ||
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Revision as of 08:49, 1 January 2012
123
In terms of maps
Theorem 4a. If $(X,\B)$ is a standard Borel space, $(Y,\A)$ a countably separated measurable space, and $f:X\to Y$ a measurable one-to-one map then $f(X)$ is measurable.
Elementary
Absolute value + Additivity + Algebra + Algebra, fundamental theorem of + Algebra of sets + Analytic geometry + Antinomy + Arabic numerals + Arithmetic mean + Arithmetic root + Assertion + Associativity + Axiomatic method + Axonometry
Ball + Bayes formula + Bell inequalities + Benford law + Bernoulli experiment + Bernoulli random walk + Bertrand paradox + Binary tree + Binomial distribution + Bit
How to Cite This Entry:
Boris Tsirelson/sandbox1. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Boris_Tsirelson/sandbox1&oldid=19998
Boris Tsirelson/sandbox1. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Boris_Tsirelson/sandbox1&oldid=19998