Bornological spaces of non-Archimedean valued functions |
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Affiliation: | Department of Mathematics, University of Ioannina, Ioannina, Greece |
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Abstract: | Let C(X,E) be the space of all continuous functions from an ultraregular space X to a non-Archimedean locally convex space E. Necessary and/or sufficient conditions are given so that C(X,E), with the topology of uniform convergence on compact sets or with the topology of simple convergence, is bornological or c-ultrabornological. |
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