example of measureable set with zero measure?
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Any countable set of real numbers has Lebesgue measure 0. In particular, the Lebesgue measure of the set of algebraic numbers is 0, even though the set is dense in R. The Cantor set and the set of Liouville numbers are examples of uncountable sets that have Lebesgue measure 0. ... , has a zero Lebesgue measure.
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Any countable set of real numbers has Lebesgue measure 0. In particular, the Lebesgue measure of the set of algebraic numbers is 0, even though the set is dense in R. The Cantor set and the set of Liouville numbers are examples of uncountable sets that have Lebesgue measure 0. ... , has a zero Lebesgue measure.
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