Results 21 to 30 of about 707 (188)

When does the Fell topology on a hyperspace of closed sets coincide with the meet of the upper Kuratowski and the lower Vietoris topologies?

Topology and Its Applications, 1996
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Tsugunori Nogura, Dmitri Shakhmatov
exaly   +2 more sources

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]

Adv Intell Discov
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
europepmc   +2 more sources

Calix[4]arene Design for Enhanced Carbon Capture via Topological Learning. [PDF]

Chemistry
ABSTRACT Solid direct air capture (S‐DAC) technologies have the potential to remove pre‐existing CO2 from the atmosphere by taking advantage of hydrophobic materials that will retain CO2 through physisorption and separating it from the abundant water molecules. Calix[n]arenes are highly tunable and versatile complexes with inherent hydrophobic cavities,
Laub JA, Vogiatzis KD.
europepmc   +2 more sources

Coincidence of Vietoris and Wijsman topologies: A new proof [PDF]

, 1997
Summary: Let \((X,d)\) be a metric space and \(\text{CL}(X)\) the family of all nonempty closed subsets of \(X\). We provide a new proof of the fact that the coincidence of the Vietoris and Wijsman topologies induced by the metric \(d\) forces \(X\) to be a compact space.
Holá, L’.
openaire   +3 more sources

Algebraic characterisation of hyperspace corresponding to topological vector space [PDF]

Journal of Hyperstructures, 2023
Let X be a Hausdor  topological vector space over the field of real or complex numbers. When Vietoris topology is given,the hyperspace ℘(X) of all nonempty compact subsets of X forms a topological exponential vector space over the same field. Exponential
Jayeeta Saha, Sandip Jana
doaj   +1 more source

Modal Logic and the Vietoris Functor [PDF]

, 2014
In [16], Esakia uses the Vietoris topology to give a coalgebra-flavored definition of topological Kripke frames, thus relating the Vietoris topology, modal logic and coalgebra.
Vosmaer, J., Venema, Y., Bezhanishvili, G.   +2 more
core   +2 more sources

A Note on Hyperspaces by Closed Sets with Vietoris Topology

Bulletin of the Malaysian Mathematical Sciences Society, 2022
17pages
Liu, Chuan, Lin, Fucai
openaire   +3 more sources

On some cardinal invariants of space of finite subsets

Lietuvos Matematikos Rinkinys, 2005
In article is investigated relationships between some cardinal invariants of topological space and it’s space of finite subsets with Vietoris topology. In generalwe note coincidence of them.
Gintaras Praninskas
doaj   +3 more sources

Computational Models of Certain Hyperspaces of Quasi-metric Spaces [PDF]

Logical Methods in Computer Science, 2011
In this paper, for a given sequentially Yoneda-complete T_1 quasi-metric space (X,d), the domain theoretic models of the hyperspace K_0(X) of nonempty compact subsets of (X,d) are studied.
Massoud Pourmahdian, Mahdi Ali-Akbari
doaj   +1 more source

On setwise betweenness

Applied General Topology, 2023
In this article, we investigate the notion of setwise betweenness, a concept introduced by P. Bankston as a generalisation of pointwise betweenness. In the context of continua, we say that a subset C of a continuum X is between distinct points a and b of
Qays R. Shakir
doaj   +1 more source