Math, asked by parrriwissh, 3 months ago

example of measureable set with zero measure?​

Answers

Answered by mahi946535
3

Answer:

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.

Answered by Csilla
17

HERe IS UR ANS:

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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