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Results tagged with measure-theory
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user 57583
Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.
7
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Under $\neg CH$, have countable unions of rationally independent numbers inner measure zero?
In their 1943 paper On non-denumerable graphs, Erdos and Kakutani suggest as likely the following proposition.
(EK*) Suppose CH fails and $\lbrace M_n : n \in \omega \rbrace$ is a countable family of …
- 2,111
9
votes
Sierpinski's construction of a non-measurable set
I think the pages 249-250 are the most relevant source in ariane's pdf. Sierpinski outlines how to go from the cardinality hypothesis to the existence of a non-measurable set, as per Ashutosh's précis …
- 2,111