Results 11 to 20 of about 3,846,080 (206)
A non-discrete space X with Cp(X) Menger at infinity [PDF]
Applied General Topology, 2019 In a paper by Bella, Tokgös and Zdomskyy it is asked whether there exists a Tychonoff space X such that the remainder of Cp(X) in some compactification is Menger but not σ-compact.
Angelo Bella +1 more
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Menger probabilistic normed space is a category topological vector space [PDF]
Sahand Communications in Mathematical Analysis, 2016 In this paper, we formalize the Menger probabilistic normed space as a category in which its objects are the Menger probabilistic normed spaces and its morphisms are fuzzy continuous operators.
Ildar Sadeqi, Farnaz Yaqub Azari
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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 ⊂
Osipov, A. V.
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On (non-Menger) spaces whose closed nowhere dense subsets are Menger
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. MatemáticasA space $X$ is od-Menger if it satisfies $\mathsf{U_{fin}}(Δ_X, \mathcal{O}_X)$, where $\mathcal{O}_X,Δ_X$ are the collection of covers of $X$ by respectively open subsets and open dense subsets. We show that under CH, there is a refinement of the usual topology on a subset of the reals which yields a hereditarily Lindelöf, od-Menger, non-Menger, $0 ...
Baillif, Mathieu, Spadaro, Santi
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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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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 ...
Kumar, Gaurav, Tyagi, Brij Kishore
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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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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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