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

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the validity of a basic statement involving the Hausdorff distance

In Variation et optimisation des formes by A. Henrot and M. Pierre, in Chapter 2, Exercises section there is the following statement: Exercise 2.12 Let $(\Omega_n)$ be a sequence of open sets, hav …
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