The projectively Hurewicz property is t-invariant-Reference-Cited by-同舟云学术

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The projectively Hurewicz property is t-invariant

Published:2023 Issue:28 Volume:37 Page:9613-9616
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Osipov Alexander¹

Affiliation:

1. Krasovskii Institute of Mathematics and Mechanics, Ural Federal University, Yekaterinburg, Russia

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 Cp(X) is homeomorphic to Cp(Y) and X is projectively Hurewicz, then Y is projectively Hurewicz, too.

Publisher

National Library of Serbia

Reference12 articles.

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3. A. V. Arhangel’skii, Projective σ-compactness, ω1-caliber, and Cp-spaces, Topol. Appl. 157 (2000), 874-893.

4. M. Bonanzinga, F. Cammaroto, M. Matveev, Projective versions of selection principles, Topol. Appl. 157 (2010), 874-893.

5. Lj. D. R. Kočinac, Selection principles and continuous images, Cubo Math. J. 8 (2006), 23-31.

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