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Answer to Question #14681 in Calculus for Tony
Question #14681
Find the subset of R that is open, dense everywhere and its complement has a positive measure.
Expert's answer
Let A be a Cantor Set with positive measure on [0, 1].
Let B be the complement of A.
Then B is dense on R and open set,
and its complement has a positive measure.
Let B be the complement of A.
Then B is dense on R and open set,
and its complement has a positive measure.
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#340153 on Dec 2023
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