Establishes that strong selective sequential separability reduces under the Ramsey property, proves equivalences between covering properties on X and sequential properties on C_p(X), and introduces a Ramsey strengthening equivalent to α2 and α4 in function spaces.
A functional characterization of the Hurewicz property
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abstract
For a Tychonoff space $X$, we denote by $C_p(X)$ the space of all real-valued continuous functions on $X$ with the topology of pointwise convergence. We give the functional characterization of the covering property of Hurewicz.
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math.GN 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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On Ramsey properties, function spaces, and topological games
Establishes that strong selective sequential separability reduces under the Ramsey property, proves equivalences between covering properties on X and sequential properties on C_p(X), and introduces a Ramsey strengthening equivalent to α2 and α4 in function spaces.