A functional characterization of the Hurewicz property

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.

arXiv comment13 pages. arXiv admin note: text overlap with arXiv:1805.11019, arXiv:1805.04363, arXiv:1805.05794