Dears;
Could you help me to prove the measure space(in the attachment) hold the countably additive?
Attachment 23886
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Dears;
Could you help me to prove the measure space(in the attachment) hold the countably additive?
Attachment 23886
Best Regards
and the countably additive
Attachment 23887
There exist two disjoint sets with countable complements...
]Quote:
Originally Posted by emakarov
Thank you
That is right But how can I find the measure specially at the right hand side of the countably additive
You can takeand
to be two disjoint sets with countable complements and
for i > 2. Then the left-hand side of the definition of countably additive measure is 1 while the right-hand side is 2.
but they should be equalQuote:
Originally Posted by emakarovYou can take
I think this function is not a measure because it is not additive.
