English

A functional characterization of the Hurewicz property

General Topology 2018-05-31 v1

Abstract

For a Tychonoff space XX, we denote by Cp(X)C_p(X) the space of all real-valued continuous functions on XX with the topology of pointwise convergence. We give the functional characterization of the covering property of Hurewicz.

Keywords

Cite

@article{arxiv.1805.11960,
  title  = {A functional characterization of the Hurewicz property},
  author = {Alexander V. Osipov},
  journal= {arXiv preprint arXiv:1805.11960},
  year   = {2018}
}

Comments

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