Spaces of continuous functions over Dugundji compacta
Taras Banakh, Wieslaw Kubis
Abstract
We show that for every Dugundji compact K of weight aleph one the Banach space C(K) is 1-Plichko and the space P(K) of probability measures on K is Valdivia compact. Combining this result with the existence of a non-Valdivia compact group, we answer a question of Kalenda.
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