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Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.

4 votes
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72 views

An algebraic condition possibly related with the Hausdorff measure on $\mathbb{R}$

This is my first time to ask a question here. Please tell me if I can improve it. I would like to introduce the following definition inspired from a measure theory exercise. Definition. A subset $K$ o …