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arXiv · 1511.05021

Equicontinuity criteria for metric-valued sets of continuous functions

Marita Ferrer·Salvador Hernandez·Luis Tarrega
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Abstract

Combining ideas of Troallic and Cascales, Namioka, and Vera, we prove several characterizations of \textit{almost equicontinuity} and \textit{hereditary almost equicontinuity} for subsets of metric-valued continuous functions when they are defined on a Čech-complete space. We also obtain some applications of these results to topological groups and dynamical systems.

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Marita Ferrer, Salvador Hernandez, Luis Tarrega. 2016-05-31. Equicontinuity criteria for metric-valued sets of continuous functions. https://arxiv.org/abs/1511.05021

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