On metrization of the hit-or-miss topology using Alexandroff compactification

DOI10.1016/j.ijar.2006.12.007zbMath1146.54004OpenAlexW2029427648MaRDI QIDQ2481041

Yangeng Wang, Guo Wei

Publication date: 8 April 2008

Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijar.2006.12.007

zbMATH Keywords

embeddingHausdorff metricmetrizationChoquet capacityAlexandroff compactificationhit-or-miss topologyhyperspace dynamicshyperspace Birkhoff ergodic theorem

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20)

Related Items

A framework of induced hyperspace dynamical systems equipped with the hit-or-miss topology, Characterizing ergodicity of induced hyperspace dynamical systems, Characterizing mixing, weak mixing and transitivity of induced hyperspace dynamical systems, Dynamical systems over the space of upper semicontinuous fuzzy sets, On the upper semicontinuity of Choquet capacities, Sensitive dependence on initial conditions between dynamical systems and their induced hyperspace dynamical systems, Homotopical properties of hyperspaces of generalized continua: the proper and ordinary cases

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