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