Annales Mathématiques
Blaise Pascal
no. 1
P-adic Spaces of Continuous Functions I
Athanasios Katsaras1
1 Department of Mathematics University of Ioannina Ioannina, 45110 Greece
Annales mathématiques Blaise Pascal, Tome 15 (2008) no. 1, pp. 109-133.

Properties of the so called θ 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.

DOI : 10.5802/ambp.242
Classification : 46S10, 46G10
Mots clés : Non-Archimedean fields, zero-dimensional spaces, locally convex spaces

Athanasios Katsaras 1

1 Department of Mathematics University of Ioannina Ioannina, 45110 Greece 
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Athanasios Katsaras. P-adic Spaces of Continuous Functions I. Annales mathématiques Blaise Pascal, Tome 15 (2008) no. 1, pp. 109-133. doi : 10.5802/ambp.242. https://ambp.centre-mersenne.org/articles/10.5802/ambp.242/

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