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

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Property stronger than $T_1$ and weaker than regularity

Recently I got interested in the following property of topological spaces: $(X,\mathcal{T})$ satisfies (P) if the following holds: For any nonempty closed subsets $F$ and $G$ with $F\ne G$, there are …
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