A non-archimedean Dugundji extension theorem
Jerzy Kąkol, Albert Kubzdela, Wiesƚaw Śliwa (2013)
Czechoslovak Mathematical Journal
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We prove a non-archimedean Dugundji extension theorem for the spaces of continuous bounded functions on an ultranormal space with values in a non-archimedean non-trivially valued complete field . Assuming that is discretely valued and is a closed subspace of we show that there exists an isometric linear extender if is collectionwise normal or is Lindelöf or is separable. We provide also a self contained proof of the known fact that any metrizable compact subspace ...