Results 1 to 10 of about 464 (130)
Weaker forms of the Menger property
Quaestiones Mathematicae, 2012 In this paper we study a weaker form of the classical concept of Menger property. This property, called weakly Menger, is independent from the Menger property and the almost Menger property. In particular, for Tychonoff spaces weaker Menger spaces are not equivalent to almost Menger spaces. We give some characterizations in terms of regular
Bruno Antonio Pansera
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Weak infinite-dimensionality in Cartesian products with the Menger Property
Topology and Its Applications, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Roman Pol
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Some remarks on the projective properties of Menger and Hurewicz
Quaestiones MathematicaeIt is known that both the Menger and Hurewicz property of a Tychonoff space $X$ can be described by the way $X$ is placed in its Čech-Stone compactification $βX$. We provide analogous characterizations for the projective versions of the properties of Menger and Hurewicz.
Mikołaj Krupski
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On the Menger and almost Menger properties in locales
Applied General Topology, 2021 <p>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 T<sub>D</sub>-spaces.
Tilahun Bayih +2 more
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On localization of the Menger property
Quaestiones Mathematicae, 2022 In this paper we introduce and study the local version of the Menger property, namely locally Menger property (or, locally Menger space). We explore some preservation like properties in this space. We also discuss certain situations where this local property behaves somewhat differently from the classical Menger property.
Nur Alam, Debraj Chandra
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Menger's covering property and groupwise density [PDF]
Journal of Symbolic Logic, 2006 AbstractWe establish a surprising connection between Menger's classical covering property and Blass-Laflamme's modern combinatorial notion of groupwise density. This connection implies a short proof of the groupwise density bound on the additivity number for Menger's property.
Boaz Tsaban, Lyubomyr Zdomskyy
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On the Menger covering property and $D$-spaces [PDF]
Proceedings of the American Mathematical Society, 2012 7 pages, to appear in Proc. Amer.
Repovs, Dusan, Zdomskyy, Lyubomyr
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A Menger-like property of tree-cut width
Journal of Combinatorial Theory, Series B, 2021 In 1990, Thomas proved that every graph admits a tree decomposition of minimum width that additionally satisfies a certain vertex-connectivity condition called leanness [A Menger-like property of tree-width: The finite case. Journal of Combinatorial Theory, Series B, 48(1):67-76, 1990].
Giannopoulou, Archontia +3 more
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On some properties of Hurewicz, Menger, and Rothberger [PDF]
Fundamenta Mathematicae, 1988 A metric space X has property C iff for every sequence \(\{\epsilon_ n ...
Miller, Arnold W., Fremlin, David H.
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A Diagonalization Property between Hurewicz and Menger [PDF]
Real Analysis Exchange, 2002 Regular ...
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