The projectively Hurewicz property is t-invariant
Filomat, Tome 37 (2023) no. 28, p. 9613
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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.
Classification :
54C35, 54D20, 54C05, 54C65
Keywords: Projectively Hurewicz space, selection principles, t-invariant, Cp-spaces
Keywords: Projectively Hurewicz space, selection principles, t-invariant, Cp-spaces
Alexander V Osipov. The projectively Hurewicz property is t-invariant. Filomat, Tome 37 (2023) no. 28, p. 9613 . doi: 10.2298/FIL2328613O
@article{10_2298_FIL2328613O,
author = {Alexander V Osipov},
title = {The projectively {Hurewicz} property is t-invariant},
journal = {Filomat},
pages = {9613 },
year = {2023},
volume = {37},
number = {28},
doi = {10.2298/FIL2328613O},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2328613O/}
}
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