Results 41 to 50 of about 464 (130)

LCAO approximation for scaling properties of the Menger sponge fractal

open access: yesOptics Express, 2006
The electromagnetic eigenmodes of a three-dimensional fractal called the Menger sponge were analyzed by the LCAO (linear combination of atomic orbitals) approximation and a first-principle calculation based on the FDTD (finite-difference time-domain) method.
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The functional characteristics of the Rothberger and Menger properties

open access: yes, 2018
11 pages. arXiv admin note: substantial text overlap with arXiv:1708.06404, arXiv:1710.07272; text overlap with arXiv:1805.04363, arXiv:1805 ...
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Menger-type covering properties of topological spaces

open access: yesFilomat, 2015
In this paper we find conditions under which the properties of Menger, almost Menger and weakly Menger are equivalent as well as the corresponding properties of Lindel?f-type. We give counterexamples that show the interrelations between those properties.
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The projective Menger property and an embedding of S into function spaces

open access: yesTopology and its Applications, 2017
Let \(X\) be a Tychonoff space and \(C_p(X)\) be the space of all real-valued continuous functions on \(X\) with the topology of pointwise convergence. \(X\) is said to be: {\parindent=0.6cm\begin{itemize}\item[--] \textit{Menger} if for every sequence \(\{ \mathcal{U}_n: n \in\mathbb{N}\}\) of open covers of \(X\), there are finite subfamilies ...
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A characterization of the Menger property by means of ultrafilter convergence

open access: yesTopology and its Applications, 2013
We characterize various Menger/Rothberger related properties by means of ultrafilter convergence, and discuss their behavior with respect to products.
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A note on the Alster, Menger and D-type properties

open access: yes, 2018
11 ...
Osipov, Alexander V., Özçağ, Selma
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On metric spaces with the Haver property which are Menger spaces

open access: yesTopology and its Applications, 2010
The aim of this paper is to construct topological spaces with some special properties under Martin's axiom (MA) answering some questions by \textit{L. Babinkostova} [Topology Appl. 154, No.~9, 1971--1979 (2007; Zbl 1128.54014) and ibid. 156, No.~1, 2--9 (2008; Zbl 1157.54010)]. The results: under MA, there is a separable metric space \((V,d)\) with the
Pol, Elżbieta, Pol, Roman
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Almost strongly star-Menger and related properties

open access: yesApplied General Topology
In this paper we introduce the almost strongly star-Menger property and we provide some results and relationships with another known properties in literature. Furthermore, we characterize the almost strongly star-Menger and the almost star-Menger properties in hyperspaces endowed with the hit-and-miss topology $\tau_\Delta$, by using two new selection ...
Ricardo Cruz-Castillo   +2 more
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Totally paracompact spaces and the Menger covering property

open access: yes
16 ...
Giacopello, Davide   +2 more
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