Results 21 to 30 of about 521,410 (206)
The relationship between the Vietoris topology and the Hausdorff quasi-uniformity
Topology and its Applications, 2002 One early result in the study of hyperspace quasi-uniformities is that the Hausdorff quasi-uniformity of a Pervin quasi-uniformity of a topological space \(X\) induces the Vietoris topology on the family of nonempty subsets of \(X\), see [\textit{N. Levine} and \textit{W. J. Stager jun.}, Math. J. Okayama Univ. 15, 101-106 (1972; Zbl 0246.54033)].
J. Rodríguez-López, S. Romaguera
semanticscholar +2 more sources
PLNet: Persistent Laplacian neural network for protein-protein binding free energy prediction. [PDF]
Protein SciAbstract Recent advances in topology‐based modeling have greatly improved molecular prediction tasks, particularly in protein–ligand binding affinity. However, when the focus shifts to predicting protein–protein interactions (PPIs) binding free energy, the question becomes significantly more challenging due to the ineffective use of topological ...
Xu X, Wang C, Wei GW, Chen J.
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On the Infimum of the Hausdorff and Vietoris Topologies [PDF]
Proceedings of the American Mathematical Society, 1993 We study the infimum of the Hausdorff and Vietoris topologies on the hyperspace of a metric space. We show that this topology coincides with the supremum of the upper Hausdorff and lower Vietoris topologies if and only if the underlying metric space is either totally bounded or is a UC space.
S. Levi, LUCCHETTI, ROBERTO, J. Pelant
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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
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Linear-Size Approximations to the Vietoris-Rips Filtration [PDF]
, 2013 The Vietoris-Rips filtration is a versatile tool in topological data analysis. It is a sequence of simplicial complexes built on a metric space to add topological structure to an otherwise disconnected set of points.
Sheehy, Donald R.
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Uniformly discrete hit-and-miss hypertopology. A missing link in hypertopologies
Applied General Topology, 2006 Recently it was shown that the lower Hausdorff metric (uniform) topology is generated by families of uniformly discrete sets as hit sets. This result leads to a new hypertopology which is the join of the above topology and the upper Vietoris topology ...
Giuseppe Di Maio +2 more
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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
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Multivalued function spaces and Atsuji spaces
Applied General Topology, 2003 In this paper we present two themes. The first one describes a transparent treatment of some of the recent results in graph topologies on multi-valued functions.
Som Naimpally
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Applied General Topology, 2008 The subject of hyperspace topologies on closed or closed and compact subsets of a topological space X began in the early part of the last century with the discoveries of Hausdorff metric and Vietoris hit-and-miss topology.
Giuseppe Di Maio +2 more
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Separating Topological Noise from Features Using Persistent Entropy [PDF]
, 2016 Topology is the branch of mathematics that studies shapes and maps among them. From the algebraic definition of topology a new set of algorithms have been derived.
Atienza Martínez, María Nieves +2 more
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