Hurewicz and Hurewicz-type star selection principles for hit-and-miss topology
Filomat, Tome 37 (2023) no. 4, p. 1143
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In this paper we continue the study of the characterization of selection principles in the hyper-spaces CL(X), K(X), F(X) and CS(X), endowed with the hit-and-miss topology, by using π ∆ (Λ)-networks and c ∆ (Λ)-covers of a topological space X. Specifically, we prove theorems which characterize the covering properties Hurewicz, strongly star Hurewicz, star Hurewicz and absolutely strongly star Hurewicz in these hyperspaces.
Classification :
54B20, 54D20, 54A05, 54A25
Keywords: Hit-and-miss topologies, Hyperspaces, Hurewicz property, Selection principles, Star selection principles, Star- Hurewicz, Strongly star-Hurewicz
Keywords: Hit-and-miss topologies, Hyperspaces, Hurewicz property, Selection principles, Star selection principles, Star- Hurewicz, Strongly star-Hurewicz
Ricardo Cruz-Castillo; Alejandro Ramírez-Páramo; Jesús F Tenorio. Hurewicz and Hurewicz-type star selection principles for hit-and-miss topology. Filomat, Tome 37 (2023) no. 4, p. 1143 . doi: 10.2298/FIL2304143C
@article{10_2298_FIL2304143C,
author = {Ricardo Cruz-Castillo and Alejandro Ram{\'\i}rez-P\'aramo and Jes\'us F Tenorio},
title = {Hurewicz and {Hurewicz-type} star selection principles for hit-and-miss topology},
journal = {Filomat},
pages = {1143 },
year = {2023},
volume = {37},
number = {4},
doi = {10.2298/FIL2304143C},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2304143C/}
}
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%0 Journal Article %A Ricardo Cruz-Castillo %A Alejandro Ramírez-Páramo %A Jesús F Tenorio %T Hurewicz and Hurewicz-type star selection principles for hit-and-miss topology %J Filomat %D 2023 %P 1143 %V 37 %N 4 %U http://geodesic.mathdoc.fr/articles/10.2298/FIL2304143C/ %R 10.2298/FIL2304143C %G en %F 10_2298_FIL2304143C
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