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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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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].
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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].
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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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Almost Menger Property in Bitopological Spaces
Ukrainian Mathematical Journal, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ÖZÇAĞ, SELMA, Eysen, A. E.
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\(\beta\)-Menger and \(\beta\)-Hurewicz spaces
2021Summary: Recently, some papers on weaker forms of classical covering properties of Hurewicz and Menger have been published. In this paper, using the covers formed by \(\beta\)-open sets, we introduce and study the properties of \(\beta\)-Menger and \(\beta\)-Hurewicz topological spaces. We give counterexamples that show the interrelations between those
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Star-Menger and related spaces
Publicationes Mathematicae Debrecen, 1999Summary: The author introduces and studies some notions related to the classical concepts of being a Menger space or a Rothenberger space.
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Fixed point results for cyclic contractions in Menger PM-spaces and generalized Menger PM-spaces
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Zhaoqi, Zhu, Chuanxi, Yuan, Chenggui
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A Menger Redux: Embedding Metric Spaces Isometrically in Euclidean Space
The American Mathematical Monthly, 2017AbstractWe present geometric proofs of Menger's results on isometrically embedding metric spaces in Euclidean space.
John Christopher Bowers +1 more
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On probabilistic -contractions on Menger spaces
Nonlinear Analysis: Theory, Methods & Applications, 2010Abstract Recently, Ciric [Lj.B. Ciric, Solving the Banach fixed point principle for nonlinear contractions in probabilistic metric spaces, Nonlinear Anal. 72 (2010) 2009–2018] obtained a fixed point theorem with the intention to get a probabilistic version of the Boyd–Wong theorem [D.W. Boyd, J.S.W. Wong, On nonlinear contractions, Proc. Amer.
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