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Katsaras, Athanasios
$p$-adic spaces of continuous functions I. Annales mathématiques Blaise Pascal, 15 no. 1 (2008), p. 109-133
Texte intégral djvu | pdf | Analyses MR 2418016 | Zbl 1158.46050 | 1 citation dans Numdam
Class. Math.: 46S10, 46G10

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Résumé

Properties of the so called $\theta _{o}$-complete topological spaces are investigated. Also, necessary and sufficient conditions are given so that the space $C(X,E)$ of all continuous functions, from a zero-dimensional topological space $X$ to a non-archimedean locally convex space $E$, equipped with the topology of uniform convergence on the compact subsets of $X$ to be polarly barrelled or polarly quasi-barrelled.

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