(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I want to find a subset A of [0,1] such that A=cl(int A) and bd A does not have measure zero where cl means closure and int means interior.

2. Relevant equations

3. The attempt at a solution

I tried some sets, but failed.

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# Find some extraordinary subset of [0,1]

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