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The Menger and Projective Menger Properties of Function Spaces With the Set-Open Topology [PDF]
Mathematica Slovaca, 2019 Abstract For a Tychonoff space X and a family λ of subsets of X, we denote by C λ(X) the space of all real-valued continuous functions on X with the set-open topology. A Menger space is a topological space in which for every sequence of open covers 𝓤1, 𝓤2, … of the space there are finite sets 𝓕1 ⊂ 𝓤1, 𝓕2 ⊂
Aleksandr Vladimirovich Osipov
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Quaestiones Mathematicae, 2023
In this paper, we prove that the product of a set star-Menger space with a compact space is a rectangular set star-Menger. We also provide an example of Tychonoff pesudocompact set star-Menger space which is not set strongly starMenger. The above mentioned results answer two questions of [14].
Sumit Singh
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In this paper, we prove that the product of a set star-Menger space with a compact space is a rectangular set star-Menger. We also provide an example of Tychonoff pesudocompact set star-Menger space which is not set strongly starMenger. The above mentioned results answer two questions of [14].
Sumit Singh
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On Probabilistic φ-Contractions in Menger Spaces [PDF]
Fuzzy Sets and Systems, 2017 Valentín Gregori and Samuel Morillas acknowledge the support of Ministry of Economy and Competitiveness of Spain under Grant MTM2015-64373-P.
Samuel Morillas +2 more
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A New Contraction Principle in Menger Spaces
Acta Mathematica Sinica, English Series, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Binayak S Choudhury
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Quaestiones Mathematicae, 2014
A space X is star-C-Menger if for each sequence (Un : n ∈ N) of open covers of X there exists a sequence (Ksub>n : n ∈ N) of countably compact subsets of X such that {St(Kn; Un) : n ∈ N} is an open cover of X. In this paper, we investigate the relationship between star-C-Menger spaces and related spaces, and study topological properties of star-< ...
Song, Yan-Kui, Yin, Zheng
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A space X is star-C-Menger if for each sequence (Un : n ∈ N) of open covers of X there exists a sequence (Ksub>n : n ∈ N) of countably compact subsets of X such that {St(Kn; Un) : n ∈ N} is an open cover of X. In this paper, we investigate the relationship between star-C-Menger spaces and related spaces, and study topological properties of star-< ...
Song, Yan-Kui, Yin, Zheng
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Publicationes Mathematicae Debrecen, 2022
Motivated by the Arhangel’skii [2] “s-Lindel¨of cardinal function” and Koˇcinac, Konca, and Singh [15] set-star covering properties, we introduce the setstar-C-Menger property. A space X is said to have the set-star-C-Menger property if for each nonempty subset A of X and each sequence (Un : n ∈ N) of families of open subsets of X such that A ⊂ ∪Un for
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Motivated by the Arhangel’skii [2] “s-Lindel¨of cardinal function” and Koˇcinac, Konca, and Singh [15] set-star covering properties, we introduce the setstar-C-Menger property. A space X is said to have the set-star-C-Menger property if for each nonempty subset A of X and each sequence (Un : n ∈ N) of families of open subsets of X such that A ⊂ ∪Un for
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A note on probabilistic φ-contractions in Menger spaces
Fuzzy Sets and Systems, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dingwei Zheng, Xin-he Liu, Pei Wang
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Weaker Forms of the Menger Property in Bitopological Spaces
Quaestiones Mathematicae, 2018 In this paper we continue previous investigations on the weaker forms of the Menger property in bitopological spaces. We introduce weakly Menger property and study some topological properties of almost and weakly Menger bitopological spaces.
Eysen, A. Erme, Ozcag, Selma
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