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Listar por palabra clave "Vietoris topology"

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Listar por palabra clave "Vietoris topology"

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    All hypertopologies are hit-and-miss 
    Naimpally, Somashekhar (Universitat Politècnica de València, 2002-04-01)
    [EN] We solve a long standing problem by showing that all known hypertopologies are hit-and-miss. Our solution is not merely of theoretical importance. This representation is useful in the study of comparison of the ...
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    Bombay hypertopologies 
    Di Maio, Giuseppe; Meccariello, Enrico; Naimpally, Somashekhar (Universitat Politècnica de València, 2003-10-01)
    [EN] 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 ...
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    Butterfly points and hyperspace selections 
    Gutev, Valentin (Universitat Politècnica de València, 2024-10-01)
    [EN] If f is a continuous selection for the Vietoris hyperspace F (X) of the nonempty closed subsets of a space X, then the point f (X) ∈ X is not as arbitrary as it might seem at first glance. In this paper, we will ...
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    CL(R) is simply connected under the Vietoris topology 
    Esty, N.C. (Universitat Politècnica de València, 2007-10-01)
    [EN] In this paper we present a proof by construction that the hyperspace CL(R) of closed, nonemtpy subsets of R is simply connected under the Vietoris topology. This is useful in considering the convergence of time scales. ...
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    Developable hyperspaces are metrizable 
    Holá, L'Ubica; Pelant, Jan; Zsilinszky, László (Universitat Politècnica de València, 2003-10-01)
    [EN] Developability of hyperspace topologies (locally finite, (bounded) Vietoris, Fell, respectively) on the nonempty closed sets is characterized. Submetrizability and having a Gδ-diagonal in the hyperspace setting is ...
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    Graph topologies on closed multifunctions 
    Di Maio, Giuseppe; Meccariello, Enrico; Naimpally, Somashekhar (Universitat Politècnica de València, 2003-10-01)
    [EN] In this paper we study function space topologies on closed multifunctions, i.e. closed relations on X x Y using various hypertopologies. The hypertopologies are in essence, graph topologies i.e topologies on functions ...
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    Lifting Dynamical Properties to Hyperspaces 
    Masood, Dania; Singh, Pooja (Editorial Universitat Politècnica de València, 2014-10-01)
    [EN] For a dynamical system (X,f), the passage of various dynamical properties such as transitivity, total transitivity, weakly mixing, mixing, topological exactness, topological conjugacy, to the hyperspace C(X) of X ...
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    Multivalued function spaces and Atsuji spaces 
    Naimpally, Somashekhar (Universitat Politècnica de València, 2003-10-01)
    [EN] 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. The study includes Vietoris topology, Fell topology, ...
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    Orderability and continuous selections for Wijsman and Vietoris hyperspaces 
    Di Caprio, Debora; Watson, Stephen (Universitat Politècnica de València, 2003-10-01)
    [EN] 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 ...
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    The Wijsman topology of a fuzzy metric space 
    Gutierrez Garcia, J.; Rodríguez López, Jesús; Romaguera Bonilla, Salvador; Sanchis, M. (Elsevier, 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, ...
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    Transitions between 4-intersection values of planar regions 
    Bell, Kathleen; Richmond, Tom (Universitat Politècnica de València, 2017-04-03)
    [EN] If A(t) and B(t) are subsets of the Euclidean plane which are continuously morphing, we investigate the question of whether they may morph directly from being disjoint to overlapping so that the boundary and interior ...
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    Uniformly discrete hit-and-miss hypertopology. A missing link in hypertopologies 
    Di Maio, Giuseppe; Meccariello, Enrico; Naimpally, Somashekhar (Universitat Politècnica de València, 2006-10-01)
    [EN] 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 ...