Results 11 to 20 of about 514,724 (135)
Orderability and continuous selections for Wijsman and Vietoris hyperspaces
Applied General Topology, 2003 Bertacchi and Costantini obtained some conditions equivalent to the existence of continuous selections for the Wijsman hyperspace of ultrametric Polish spaces. We introduce a new class of hypertopologies, the macro-topologies.
Debora Di Caprio, Stephen Watson
doaj +2 more sources
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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Coincidence of Vietoris and Wijsman Topologies: A New Proof [PDF]
, 1997 Let (X, d) be a metric space and 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’.
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Applied General Topology, 2003 We prove that the hyperspace of closed bounded sets with the Hausdor_ topology, over an almost convex metric space, is an absolute retract. Dense subspaces of normed linear spaces are examples of, not necessarily connected, almost convex metric spaces ...
Camillo Constantini, Wieslaw Kubís
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Fell type topologies of quasi-pseudo-metric spaces and the Kuratowski-Painlevé convergence
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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Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this study, we investigate the notions of the Wijsman ℐ2‐statistical convergence, Wijsman ℐ2‐lacunary statistical convergence, Wijsman strongly ℐ2‐lacunary convergence, and Wijsman strongly ℐ2‐Cesàro convergence of double sequence of sets in the intuitionistic fuzzy metric spaces (briefly, IFMS).
Ömer Kişi, Huseyin Isik
wiley +1 more source
Lacunary ℐ‐Invariant Convergence of Sequence of Sets in Intuitionistic Fuzzy Metric Spaces
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 The concepts of invariant convergence, invariant statistical convergence, lacunary invariant convergence, and lacunary invariant statistical convergence for set sequences were introduced by Pancaroğlu and Nuray (2013). We know that ideal convergence is more general than statistical convergence for sequences.
Mualla Birgül Huban, Huseyin Isik
wiley +1 more source
Some Results on Wijsman Ideal Convergence in Intuitionistic Fuzzy Metric Spaces
Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 In the present work, we study and extend the notion of Wijsman J–convergence and Wijsman J∗–convergence for the sequence of closed sets in a more general setting, i.e., in the intuitionistic fuzzy metric spaces (briefly, IFMS). Furthermore, we also examine the concept of Wijsman J∗–Cauchy and J–Cauchy sequence in the intuitionistic fuzzy metric space ...
Ayhan Esi +4 more
wiley +1 more source
Computability, Noncomputability, and Hyperbolic Systems [PDF]
, 2011 In this paper we study the computability of the stable and unstable manifolds of a hyperbolic equilibrium point. These manifolds are the essential feature which characterizes a hyperbolic system.
Buescu, Jorge +2 more
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Wijsman hyperspaces of non-separable metric spaces [PDF]
, 2013 Given a metric space $\langle X,\rho \rangle$, consider its hyperspace of closed sets $CL(X)$ with the Wijsman topology $\tau_{W(\rho)}$. It is known that $\langle{CL(X),\tau_{W(\rho)}}\rangle$ is metrizable if and only if $X$ is separable and it is an ...
Rodrigo Hern'andez-Guti'errez +1 more
semanticscholar +1 more source