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Math Help - locally measurable functions

  1. #1
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    locally measurable functions

    Is there any definition for locally measurable functions similar to locally continuity ?
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    Super Member Rebesques's Avatar
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    ...What is local continuity?
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  3. #3
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    locally measurable functions

    Let's X be a measurable set and Y be a topological space. f is a function,
    f: X -----> Y. Similarly to locally continuity, f may be defined measurable in point x0 of X if for every neighborhood V of f(x0) ,there is a measurable set W containing x0 such that f(W) is subset of V .
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