Results 1 to 10 of about 45,419 (109)
Set Star-Menger and Set Strongly Star-Menger Spaces [PDF]
Mathematica Slovaca, 2022 AbstractMotivated by the Arhangel’skii “s-Lindelöf cardinal function” definition, Kočinac and Konca defined and studied set covering properties and set star covering properties. In this paper, we present results on the star covering properties called set star-Menger and set strongly star-Menger.
Kočinac, Ljubiša D. R. +2 more
semanticscholar +13 more sources
Almost strongly star-Menger and related properties
Applied General TopologyIn this paper we introduce the almost strongly star-Menger property and we provide some results and relationships with another known properties in literature.
Ricardo Cruz-Castillo +2 more
doaj +4 more sources
Some properties defined by relative versions of star-covering properties II [PDF]
Applied General Topology, 2023 In this paper we consider some recent relative versions of Menger property called set strongly star Menger and set star Menger properties and the corresponding Hurewicz-type properties. In particular, using [2], we "easily" prove that the set strong star
Maddalena Bonanzinga +2 more
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Absolutely strongly star-Menger spaces
Topology and its Applications, 2013 Abstract A space X is absolutely strongly star-Menger if for each sequence ( U n : n ∈ N ) of open covers of X and each dense subset D of X, there exists a sequence ( F n : n ∈ N ) of finite subsets of D such that { St ( F n , U n ) : n ∈ N } is an open cover of X.
Yan Song
openaire +2 more sources
Selection principles and covering properties in bitopological spaces
Applied General Topology, 2020 Our main focus in this paper is to introduce and study various selection principles in bitopological spaces. In particular, Menger type, and Hurewicz type covering properties like: Almost p-Menger, star p-Menger, strongly star p-Menger, weakly p-Hurewicz,
Moiz ud Din Khan, Amani Sabah
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Some remarks on Pixley-Roy hyperspaces
Tạp chí Khoa học Đại học Huế: Khoa học Tự nhiênIn this paper, we study cellular-compact, cellular-Lindel\"of, strongly star-Hurewicz, strongly star-Rothberger, strongly star-Menger spaces on hyperspaces with the Pixley-Roy topology.
Quoc Tuyen Luong +2 more
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Absolutely strongly star-Hurewicz spaces
Open Mathematics, 2015 A space X is absolutely strongly star-Hurewicz if for each sequence (Un :n ∈ℕ/ of open covers of X and each dense subset D of X, there exists a sequence (Fn :n ∈ℕ/ of finite subsets of D such that for each x ∈X, x ∈St(Fn; Un) for all but finitely many n.
Song Yan-Kui
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Iterations and unions of star selection properties on topological spaces [PDF]
Hacettepe Journal of Mathematics and Statistics, 2022 In this paper, we investigate what selection principles properties are possessed by small (with respect to the bounding and dominating numbers) unions of spaces with certain (star) selection principles..
Javier Casas-de la Rosa +2 more
semanticscholar +1 more source
Weakly strongly star-Menger spaces
Cubo, 2021 A space $X$ is called weakly strongly star-Menger space if for each sequence ($\mathcal{U}_{n} : n \in \omega$) of open covers of $X,$ there is a sequence $(F_n : n\in\omega)$ of finite subsets of $X$ such that $\overline{\bigcup_{n\in\omega} St(F_n ...
Gaurav Kumar, Brij K. Tyagi
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Applied General Topology, 2022 A space X is said to be set star-Lindelöf if for each nonempty subset A of X and each collection U of open sets in X such that A ⊆⋃U, there is a countable subset V of U such that A ⊆ St (⋃V,U).
Sumit Singh
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