Results 21 to 30 of about 14,602 (198)
Products of sequentially compact spaces and compactness with respect to a set of filters [PDF]
, 2014 Let $X$ be a product of topological spaces. $X$ is sequentially compact if and only if all subproducts by $\leq \mathfrak s$ factors are sequentially compact. If $\mathfrak s = \mathfrak h$, then $X$ is sequentially compact if and only if all factors are
Lipparini, Paolo
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A non-discrete space X with Cp(X) Menger at infinity
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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Minimal H\"older regularity implying finiteness of integral Menger curvature [PDF]
, 2011 We study two families of integral functionals indexed by a real number $p > 0$. One family is defined for 1-dimensional curves in $\R^3$ and the other one is defined for $m$-dimensional manifolds in $\R^n$. These functionals are described as integrals of
G. David +14 more
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Weak covering properties and selection principles [PDF]
, 2012 No convenient internal characterization of spaces that are productively Lindelof is known. Perhaps the best general result known is Alster's internal characterization, under the Continuum Hypothesis, of productively Lindelof spaces which have a basis of ...
Babinkostova, L. +2 more
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(Quantum) Space-Time as a Statistical Geometry of Fuzzy Lumps and the Connection with Random Metric Spaces [PDF]
, 2000 We develop a kind of pregeometry consisting of a web of overlapping fuzzy lumps which interact with each other. The individual lumps are understood as certain closely entangled subgraphs (cliques) in a dynamically evolving network which, in a certain ...
Alexandroff P +49 more
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New dynamic fixed point results in Menger spaces [PDF]
Surveys in Mathematics and its Applications, 2023 The objective of this paper is to generalize and improve some results in fixed point theorems in both complete metric space and Menger space. These results are generalizations of the analogous ones recently proved by Khojasteh [5], Demma [1], Yildirim ...
Besma Laouadi +4 more
doaj
e-Distance in Menger PGM Spaces with an Application
Axioms, 2020 The main purpose of the present paper is to define the concept of an e-distance (as a generalization of r-distance) on a Menger PGM space and to introduce some of its properties.
Ehsan Lotfali Ghasab +3 more
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High-Dimensional Menger-Type Curvatures - Part I: Geometric Multipoles and Multiscale Inequalities
, 2009 We define a discrete Menger-type curvature of d+2 points in a real separable Hilbert space H by an appropriate scaling of the squared volume of the corresponding (d+1)-simplex.
Lerman, G., Whitehouse, J. T.
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Hereditary topological diagonalizations and the Menger-Hurewicz Conjectures [PDF]
, 2010 We consider the question, which of the major classes defined by topological diagonalizations of open or Borel covers is hereditary. Many of the classes in the open case are not hereditary already in ZFC, and none of them is provably hereditary.
Bartoszynski, Tomek, Tsaban, Boaz
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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 +4 more sources