Taras Banakh
Published 2019-04-18Version 1
A topological space $X$ is called $k$-scattered if each compact subspace of $X$ has an isolated point. We prove that (i) a \v{C}ech-complete space is $k$-scattered if and only if it is scattered and (ii) a $K$-analytic space $X$ is $k$-scattered if and only if any metrizable continuous image of $X$ is at most countable.
On iso-dense and scattered spaces in $\mathbf{ZF}$
On first countable, cellular-compact spaces
On $α$-embedded subsets of products
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