The projectively Hurewicz property is t-invariant

Alexander V. Osipov

The projectively Hurewicz property is t-invariant

General Topology 2023-06-06 v2

Authors: Alexander V. Osipov

Abstract

A space $X$ is projectively Hurewicz provided every separable metrizable continuous image of $X$ is Hurewicz. In this paper we prove that the projectively Hurewicz property is $t$ -invariant, i.e., if $C_p(X)$ is homeomorphic to $C_p(Y)$ and $X$ is projectively Hurewicz, then $Y$ is projectively Hurewicz, too.

Keywords

projectively hurewicz space t-invariant property function space cp(x) homeomorphism separable metrizable image

Cite

@article{arxiv.2303.02656,
  title  = {The projectively Hurewicz property is t-invariant},
  author = {Alexander V. Osipov},
  journal= {arXiv preprint arXiv:2303.02656},
  year   = {2023}
}

Comments

6 pages. arXiv admin note: text overlap with arXiv:1812.05925

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