plz. help me in that ,, (Worried)

prove countable setis measurable ??? (Headbang)

plz ASAP...(Crying)

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- March 2nd 2012, 02:32 PMazzahprove countable set is measurable?? plz,
plz. help me in that ,, (Worried)

prove countable setis measurable ??? (Headbang)

plz ASAP...(Crying) - March 2nd 2012, 03:31 PMgirdavRe: prove countable set is measurable?? plz,
Of course it depends of the measured spaces, for example if you take an uncountable set and the -algebra given by then countable subsets of need not to be measurable.

But if you assume for example that is such that for all , then it's just a consequence of the fact that a -algebra is stable by countable unions.