On variants of θ-Menger spaces
Filomat, Tome 37 (2023) no. 15, p. 5075
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In this paper we further study θ-Menger, θ-almost Menger and θ-weakly Menger properties [13] and investigate their relationships with other selective covering properties. We prove that in extremally disconnected semi-regular spaces, the properties viz. Menger, semi-Menger, α-Menger, θ-Menger, midly Menger are equivalent; and every finite power of a space X has the selection property S f in (θ-O, θ-O) if and only if X has the property S f in (θ-Ω, θ-Ω).
Classification :
54D20, 54A10, 54D10
Keywords: Menger space, θ-Menger space, θ-continuity, S-paracompact, Extremally disconnected space
Keywords: Menger space, θ-Menger space, θ-continuity, S-paracompact, Extremally disconnected space
Gaurav Kumar; Brij K Tyagi. On variants of θ-Menger spaces. Filomat, Tome 37 (2023) no. 15, p. 5075 . doi: 10.2298/FIL2315075K
@article{10_2298_FIL2315075K,
author = {Gaurav Kumar and Brij K Tyagi},
title = {On variants of {\ensuremath{\theta}-Menger} spaces},
journal = {Filomat},
pages = {5075 },
year = {2023},
volume = {37},
number = {15},
doi = {10.2298/FIL2315075K},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2315075K/}
}
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