Results 11 to 20 of about 707 (188)
An Approach to the Concept of Soft Vieotoris Topology
International Journal of Analysis and Applications, 2016 In the present paper, we study the Vietoris topology in the context of soft set. Firstly, we investigate some aspects of first countability in the soft Vietoris topology. Then, we obtain some properties about its second countability.
Izzettin Demir
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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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On hereditary Baireness of the Vietoris topology [PDF]
Topology and its Applications, 2001 It is shown that a metrizable space X, with completely metrizable separable closed subspaces, has a hereditarily Baire hyperspace K(X) of nonempty compact subsets of X endowed with the Vietoris topology tv. In particular, making use of a construction of Saint Raymond, we show in ZFC that there exists a non-completely metrizable, metrizable space X with
Bouziad, Ahmed +2 more
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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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Vietoris topology on partial maps with compact domains [PDF]
Topology and its Applications, 2010 Let \(K(X)\) denote the space of all compact subsets of a Hausdorff space \(X\) with the Vietoris topology \(\tau_V\). For Hausdorff spaces \(X\) and \(Y\) and for \(B \subseteq X\), let \(C(B, Y)\) denote the set of all continuous maps from \(B\) to \(Y\) and \({ \mathcal P} _K(X,Y)\) the set of all partial maps with compact domains, that is ...
Holá, L'ubica, Zsilinszky, László
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Baire spaces, Tychonoff powers and the Vietoris topology [PDF]
Proceedings of the American Mathematical Society, 2007 In this paper, we show that if the Tychonoff power X ω X^\omega of a quasi-regular space X X is Baire, then its Vietoris hyperspace 2 X 2^X is also Baire. We also provide two examples to show (i) the converse of this result does not hold in general, and (ii) the ...
Cao, J, Tomita, AH
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Orderability and continuous selections for Wijsman and Vietoris hyperspaces [PDF]
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
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Selection principles in hyperspaces with generalized Vietoris topologies
Topology and its Applications, 2008 In [J. Korean Math. Soc. 43, No.~5, 1099--1114 (2006; Zbl 1113.54006)] and [Topology Appl. 155, No.~17--18, 1947--1958 (2008; Zbl 1221.54004)], the authors investigated hyperspaces on a Čech closure space, in particular the question of what topologies could be considered as well as what results were still valid in this setting.
Mršević, Mila, Jelić, Milena
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Uniformly discrete hit-and-miss hypertopology. A missing link in hypertopologies [PDF]
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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Entanglement, space-time and the Mayer-Vietoris theorem
Journal of High Energy Physics, 2017 Entanglement appears to be a fundamental building block of quantum gravity leading to new principles underlying the nature of quantum space-time. One such principle is the ER-EPR duality.
Andrei T. Patrascu
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