Results 21 to 30 of about 15,188 (171)
Dynamical property of hyperspace on uniform space
Demonstratio Mathematica, 2023 First, we introduce the concepts of equicontinuity, expansivity , ergodic shadowing property, and chain transitivity in uniform space. Second, we study the dynamical properties of equicontinuity, expansivity , ergodic shadowing property, and chain ...
Ji Zhanjiang
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CL(R) is simply connected under the Vietoris topology
Applied General Topology, 2007 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.
N.C. Esty
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IEEE Access, 2015 The development of informationization and intelligentization prompts Internet developing toward a new era. A deep fusion among cyber space, physical space, social space, and thinking space brings a quaternionic cyber-physical-social-thinking hyperspace ...
Huansheng Ning +6 more
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Mots et discours de science dans la science-fiction
Socio, 2019 Science fiction has close ties with science, as we know, but this article focuses more specifically on the words of science, the scientific vocabulary, which we often find in science fiction texts and, in particular, on the enlightening way in which ...
Ugo Bellagamba, Roland Lehoucq
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Lifting Dynamical Properties to Hyperspaces
Applied General Topology, 2014 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 consisting of nonempty closed connected ...
Dania Masood, Pooja Singh
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The lifting property for classes of mappings
International Journal of Mathematics and Mathematical Sciences, 2000 The lifting property of continua for classes of mappings is defined. It is shown that the property is preserved under the inverse limit operation. The results, when applied to the class of confluent mappings, exhibit conditions under which the induced ...
Janusz J. Charatonik
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Task-Projected Hyperdimensional Computing for Multi-Task Learning
, 2020 Brain-inspired Hyperdimensional (HD) computing is an emerging technique for cognitive tasks in the field of low-power design. As a fast-learning and energy-efficient computational paradigm, HD computing has shown great success in many real-world ...
A Rahimi +6 more
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Hyperspace selections avoiding points
Commentationes Mathematicae Universitatis Carolinae, 2023 In this paper, we deal with a hyperspace selection problem in the setting of connected spaces. We present two solutions of this problem illustrating the difference between selections for the nonempty closed sets, and those for the at most two-point sets. In the first case, we obtain a characterisation of compact orderable spaces.
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Induced dynamics on the hyperspaces
Applied General Topology, 2016 In this paper, we study the dynamics induced by finite commutative relation on the hyperspaces. We prove that the dynamics induced on the hyperspace by a non-trivial commutative family of continuous self maps cannot be transitive and hence cannot exhibit
Puneet Sharma
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On Star Selection Principles Theory
Axioms, 2023 The aim of this paper is to review up-to-date recent results in the field of star selection principles, a rapidly growing area of topology, and to present a few new results.
Ljubiša D. R. Kočinac
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