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Listar por palabra clave "Equicontinuity"

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Listar por palabra clave "Equicontinuity"

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    A note on measure and expansiveness on uniform spaces 
    Das, Pramod; Das, Tarun (Universitat Politècnica de València, 2019-04-01)
    [EN] We prove that the set of points doubly asymptotic to a point has measure zero with respect to any expansive outer regular measure for a bi-measurable map on a separable uniform space. Consequently, we give a class ...
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    Equicontinuous local dendrite maps 
    Salem, Aymen Haj; Hattab, Hawete; Rejeiba, Tarek (Universitat Politècnica de València, 2021-04-01)
    [EN] Let X be a local dendrite, and f : X → X be a map. Denote by E(X) the set of endpoints of X. We show that if E(X) is countable, then the following are equivalent:(1) f is equicontinuous;(2)  fn (X) = R(f);(3) f|  fn ...
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    Function Spaces and Strong Variants of Continuity 
    Kohli, J.K.; Singh, D. (Universitat Politècnica de València, 2008-04-01)
    [EN] It is shown that if domain is a sum connected space and range is a T0-space, then the notions of strong continuity, perfect continuity and cl-supercontinuity coincide. Further, it is proved that if X is a sum connected ...
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    The function ω ƒ on simple n-ods 
    Vidal-Escobar, Ivon; Garcia-Ferreira, Salvador (Universitat Politècnica de València, 2019-10-01)
    [EN] Given a discrete dynamical system (X, ƒ), we consider the function ωƒ-limit set from X to 2x asωƒ(x) = {y ∈ X : there exists a sequence of positive integers n1 < n2 < … such that limk→∞ ƒnk (x) = y},for each x ∈ X. ...
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    Topological dynamics on hyperspaces 
    Sharma, Puneet; Nagar, Anima (Universitat Politècnica de València, 2010-04-01)
    [EN] In this paper we wish to relate the dynamics of the base map to the dynamics of the induced map. In the process, we obtain conditions on the endowed hyperspace topology under which the chaotic behaviour of the map on ...