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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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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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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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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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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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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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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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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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Selectively strongly star-Menger spaces and related properties
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2021 A space X is selectively strongly star-Menger (briefly, selSSM) if for each sequence ... In this paper, we study some properties of selectively strongly star-Menger spaces, the relation with related properties and give some example distinguishing the ...
Maddalena Bonanzinga, Fortunato Maesano
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