Displaying similar documents to “The weak and strong convergence in metrizable spaces over valued fields.”

Non-archimedean G P -spaces.

De Grande-De Kimpe, N., Perez-Garcia, C. (1994)

Bulletin of the Belgian Mathematical Society - Simon Stevin

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The non-archimedian space BC(X) with the strict topology.

Nicole De Grande-De Kimpe, Samuel Navarro (1994)

Publicacions Matemàtiques

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Let X be a zero-dimensional, Hausdorff topological space and K a field with non-trivial, non-archimedean valuation under which it is complete. Then BC(X) is the vector space of the bounded continuous functions from X to K. We obtain necessary and sufficient conditions for BC(X), equipped with the strict topology, to be of countable type and to be nuclear in the non-archimedean sense.