Suppose I have a bounded subset of the real numbers. Call this subset $A$. Assume that $A$ has nonzero measure. Can I show that there is an interval from the real numbers such that almost every number in that interval has to be an element of $A$? Is Lebesgue's density theorem sufficient for this?
2026-04-29 19:14:22.1777490062
Bounded subset and Lebesgue's density theorem
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