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

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Can we generalize the result of Urysohn's lemma to countable collection of pairwise disjoint...

Suppose X is a normal topological space. Suppose some metric space for example. If {$A_n$}$_{n=1}^{\infty}$ is a collection of pairwise disjoint closed subsets of X, can we find a continuous function …