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Dera Natung Government College Research JournalBy employing g-open sets, we present the concept of almost GOMenger space in this article. After that, the nature of almost GO-Menger space is compared to GO-Menger space, and some fundamental topological aspects of such spaces are examined. Additionally,
Susmita Sarkar, Prasenjit Prasenjit Bal
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About uniformly Menger spaces [PDF]
Mathematica MoravicaPrecompact type properties - precompactness (=totally precompactness), s-precompactness, pre-Lindelöfness, (=ℵ0-boundedness), t -boundedness - belong to the basic important invariants studied in the uniform topology.
Kanetov Bekbolot +2 more
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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
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Nearly Soft Menger Spaces [PDF]
Journal of Mathematics, 2020 In this paper, we define a weak type of soft Menger spaces, namely, nearly soft Menger spaces. We give their complete description using soft s-regular open covers and prove that they coincide with soft Menger spaces in the class of soft regular⋆ spaces.
Tareq M. Al-shami +1 more
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Some properties defined by relative versions of star-covering properties II
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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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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On the Menger and almost Menger properties in locales
Applied General Topology, 2021 The Menger and the almost Menger properties are extended to locales. Regarding the former, the extension is conservative (meaning that a space is Menger if and only if it is Menger as a locale), and the latter is conservative for sober TD-spaces.
Tilahun Bayih +2 more
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Applied General Topology, 2021 A Meir-Keeler type fixed point theorem for a family of mappings is proved in Menger probabilistic metric space (Menger PM-space). We establish that completeness of the space is equivalent to fixed point property for a larger class of mappings that ...
Ravindra K. Bisht, Vladimir Rakocević
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Menger spaces and inverse limits [PDF]
Pacific Journal of Mathematics, 1988 In 1984, M. Bestvina characterized the Menger universal n-dimensional spaces. This characterization is used by the authors to identify certain inverse sequences having inverse limit homeomorphic to one of the Menger spaces. Specific models of Menger spaces are then constructed in the Hilbert cube as inverse limits of polyhedra.
Garity, Dennis J. +2 more
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Remarks on Semi-Menger and Star Semi-Menger Spaces
Tatra Mountains Mathematical Publications, 2022 Abstract It is proved that for an extremally disconnected S-paracompact-T 2 spaces the properties semi-Menger, Menger, strongly star semi-Menger, strongly star-Menger, star semi-Menger, star-Menger, almost semi-Menger, almost Menger, almost star semi-Menger, almost star-Menger are equivalent.
Kumar, Gaurav, Tyagi, Brij Kishore
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