Spaces of continuous functions over Dugundji compacta

Details Spaces of continuous functions over Dugundji compacta Spaces of continuous functions over Dugundji compacta

2006-10-26

arxiv.org/abs/math/0610795v2

Mathematics

Functional Analysis

8 pages; corrected

Scientific paper

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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