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arxiv: 1805.11960 · v1 · pith:ZWL5MCFNnew · submitted 2018-05-27 · 🧮 math.GN

A functional characterization of the Hurewicz property

Alexander V. Osipov This is my paper
classification 🧮 math.GN
keywords characterizationfunctionalhurewiczpropertyspacecontinuousconvergencecovering
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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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  1. On Ramsey properties, function spaces, and topological games

    math.GN 2019-07 unverdicted novelty 4.0

    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 strengthen...