Equicontinuity criteria for metric-valued sets of continuous functions
General Topology
2016-06-01 v5
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 \v{C}ech-complete space. We also obtain some applications of these results to topological groups and dynamical systems.
Keywords
Cite
@article{arxiv.1511.05021,
title = {Equicontinuity criteria for metric-valued sets of continuous functions},
author = {Marita Ferrer and Salvador Hernandez and Luis Tarrega},
journal= {arXiv preprint arXiv:1511.05021},
year = {2016}
}
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27 pages