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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
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iterated limit sets of a countable subset of real numbers
Let $A\subset \mathbb{R}$ be a closed subset, and $A'$ be the sets of limit points. We know that if $A$ is a countable set, $A'$ is a proper subset of $A$. Is it possible to find a subset( closed and …