Results 1 to 10 of about 11,369 (179)
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.
Tsaban, Boaz, Zdomskyy, Lyubomyr
openaire +4 more sources
Almost strongly star-Menger and related properties
Applied General TopologyIn this paper we introduce the almost strongly star-Menger property and we provide some results and relationships with another known properties in literature.
Ricardo Cruz-Castillo +2 more
doaj +3 more sources
Menger fractal structure with negative refraction and sound tunnelling properties
Materials Research Express, 2019 We construct new quasi-three-dimensional fractal acoustic metamaterials based on adoption of the Menger structure, which offers extraordinary parameters such as double-negative properties and a near-zero density.
Yu Liu +6 more
doaj +2 more sources
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
doaj +1 more source
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
openaire +6 more sources
On the Menger covering property and $D$-spaces [PDF]
Proceedings of the American Mathematical Society, 2012 The main results of this note are: It is consistent that every subparacompact space $X$ of size $\omega_1$ is a $D$-space; If there exists a Michael space, then all productively Lindel\"of spaces have the Menger property, and, therefore, are $D$-spaces; and Every locally $D$-space which admits a $\sigma$-locally finite cover by Lindel\"of spaces is a ...
Repovs, Dusan, Zdomskyy, Lyubomyr
openaire +5 more sources
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
doaj +1 more source
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
Bonanzinga M., Maesano F.
+9 more sources
Common Fixed Point Theory in Modified Intuitionistic Probabilistic Metric Spaces with Common Property (E.A.) [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this paper, we define the concepts of modified intuitionistic probabilistic metric spaces, the property (E.A.) and the common property (E.A.) in modified intuitionistic probabilistic metric spaces.Then, by the commonproperty (E.A.), we prove some ...
Hamid Shayanpour, Asiyeh Nematizadeh
doaj +1 more source
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
openaire +3 more sources