Results 1 to 10 of about 514,724 (135)
On normality of the Wijsman topology [PDF]
Annali di Matematica Pura ed Applicata, 2011 Let $(X,\rho)$ be a metric space and $(CL(X),W_\rho)$ be the hyperspace of all nonempty closed subsets of $X$ equipped with the Wijsman topology. The Wijsman topology is one of the most important classical hyperspace topologies.
Holá, Lubica, Novotný, Branislav
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The Wijsman topology of a fuzzy metric space [PDF]
Fuzzy Sets and Systems, 2016 [EN] We introduce and study the notions of lower Wijsman topology, upper Wijsman topology and Wijsman topology of a fuzzy metric space in the sense of Kramosil and Michalek. In particular, quasi-uniformizability, uniformizability, quasi-metrizability and
Gutierrez Garcia, J. +3 more
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Polishness of the Wijsman Topology Revisited [PDF]
Proceedings of the American Mathematical Society, 1998 Let X be a completely metrizable space. Then the space of nonempty closed subsets of X endowed with the Wijsman topology is a-favorable in the strong Choquet game. As a consequence, a short proof ofthe Beer-Costantini Theorem on Polishness of the Wijsman
NC DOCKS at The University of North Carolina at Pembroke +1 more
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All hypertopologies are hit-and-miss [PDF]
Applied General Topology, 2002 We solve a long standing problem by showing that all known hypertopologies are hit-and-miss. Our solution is not merely of theoretical importance.
Somshekhar Naimpally
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Applied General Topology, 2003 Recently it was shown that, in a metric space, the upper Wijsman convergence can be topologized with the introduction of a new far-miss topology. The resulting Wijsman topology is a mixture of the ball topology and the proximal ball topology.
Giuseppe Di Maio +2 more
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Embeddings in the Fell and Wijsman topologies [PDF]
Filomat, 2019 It is shown that if a T2 topological space X contains a closed uncountable discrete subspace, then the spaces (?1 + 1)? and (?1 + 1)?1 embed into (CL(X),?F), the hyperspace of nonempty closed subsets of X equipped with the Fell topology. If (X, d) is a non-separable perfect topological space, then (?1 + 1)? and (?1 +1)?1 embed into (CL(X), ?
L. Holá
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Every Wijsman topology relative to a Polish space is Polish [PDF]
Proceedings of the American Mathematical Society, 1995 Generalizing a result of G. Beer and a result of E. Effros, we show that if (X, d) is a separable and completely metrizable metric space, then the hyperspace of X endowed with the Wijsman topology is separable and completely metrizable.
C. Costantini
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Postzygotic single-nucleotide mosaicisms contribute to the etiology of autism spectrum disorder and autistic traits and the origin of mutations. [PDF]
Hum Mutat, 2017 We report that missense/loss‐of‐function (LoF) postzygotic single nucleotide mosaicisms (pSNMs) with a high mutant allele fraction (MAF>=0.2) contributed to ASD diagnoses, whereas missense/LoF pSNMs with a low MAF (MAF<0.2) contributed to autistic traits in male non‐ASD siblings. Missense/LoF pSNMs in parents with a low MAF were transmitted more to ASD
Dou Y +12 more
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Three Open Problems on the Wijsman Topology [PDF]
, 2016 Since it first emerged in Wijsman's seminal work [29], the Wijsman topology has been intensively studied in the past 50 years. In particular, topological properties of Wijsman hyperspaces, relationships between the Wijsman topology and other hyperspace ...
Cao, J
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Hyperspaces of separable Banach spaces with the Wijsman topology
Topology and its Applications, 2005 Let \(\text{Cld}(X)\) be the set of all non-empty closed sets in a topological space \(X\). Let \(X= (X,d)\) be a metric space, for each \(x\in X\) and \(r> 0\), let \[ U^-(x,r)= \{A\in \text{Cld}(X): d(x,A)< r\};\;U^+(x,r)= \{A\in\text{Cld}(X): d(x,A)> r\}. \] The Wijsman topology on \(\text{Cld}(X)\) is the topology induced by the family \(\{U^-(x,r),
Kubiś, Wiesław +2 more
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