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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

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A closed set which is the closure of its interior points

This is a cross-post to MSE to this question https://math.stackexchange.com/questions/3267497/a-set-which-is-the-closure-of-its-interior-points There is a related question in MO: Closure of the int …