Results 1 to 10 of about 11,175 (238)
On some metrics compatible with the Fell–Matheron topology
International Journal of Approximate Reasoning, 2007 By modifying the Hausdorff-Buseman metric, a metric on the hyperspace of closed subsets of a Hausdorff locally compact second countable space is obtained that is compatible with the Fell topology. Two more compatible metrics are presented.
Yukio Ogura
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Fell type topologies of quasi-pseudo-metric spaces and the Kuratowski-Painlevé convergence [PDF]
Applied General Topology, 2001 We study the double Fell topology when this hypertopology is constructed over a quasi-pseudo-metric space. In particular, its relationship with the Wijsman hypertopology is studied.
Jesús Rodríguez-López
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Character and tightness of hyperspaces with the Fell topology
Topology and Its Applications, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hou, Ji-Cheng
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Topology and Its Applications, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tsugunori Nogura, Dmitri Shakhmatov
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Weak Convergence of Probability Measures on Hyperspaces with the Upper Fell-Topology
Bulletin of the Iranian Mathematical SocietyAbstractLet E be a locally compact second countable Hausdorff space and $$\mathcal {F}$$ F the pertaining family of all closed sets. We endow $$\mathcal {F}$$ F respectively with the Fell-topology, the upper Fell topology or the upper Vietoris-topology and investigate weak ...
Dietmar Ferger
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Topological classification of function spaces with the Fell topology I
Topology and Its Applications, 2014 Let \(X\) be a Tychonoff topological space, \(L\) a subset of the real line \(\mathbb R\) with the usual order and topology, and \(USC(X, L)\) (respectively, \(C(X, L)\)) the set of all upper semi-continuous maps (respectively, continuous maps) from \(X\) to the subspace \(L\) of \(\mathbb R\).
Zhongqiang Yang, Pengfei Yan
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Selection principles and bitopological hyperspaces [PDF]
Applied General Topology, 2023 In this paper we continue to research relationships between closure-type properties of hyperspaces over a space X and covering properties of X. For a Hausdorff space X we denote by 2X the family of all closed subsets of X.
Alexander V. Osipov
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Fell topology and its application for some semidirect products
Annals of Functional Analysis, 2022 Let \(G\) be a locally compact and \(\widehat{G}\) the unitary dual considered with the Fell topology. The cortex of \(G\), denoted by \(\mathrm{cor}(G)\) is the collection of \(\pi \in \widehat{G}\) that can not be separated from the trivial representation of \(G\). In the paper under review, the authors consider \(G = K \ltimes \mathbb H_d\) where \(\
Hedi Regeiba +2 more
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Selection principles of the Fell topology and the Vietoris topology
Topology and Its Applications, 2016 For a noncompact Hausdorff space \(X\), let \(\text{CL} (X)\) be the family of all nonempty closed subsets of \(X\). Let \(\tau _F\) (resp., \(\tau_V\)) denote the Fell (resp., Vietoris) topology on \(\text{CL} (X)\). Motivated by \textit{G. Di Maio} et al. [Topology Appl. 153, No. 5--6, 912--923 (2005; Zbl 1087.54007)], the author investigates several
Zuquan Li
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A unified deep learning framework for cross-platform harmonization of multi-tracer PET quantification in neurodegenerative disease [PDF]
npj Digital MedicineQuantitative PET underpins diagnosis and treatment monitoring in neurodegenerative disease, yet systematic biases between PET-MRI and PET-CT preclude threshold transfer and cross-site comparability.
Jing Wang +17 more
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