Spaces of continuous functions over Dugundji compacta

Taras Banakh; Wieslaw Kubis

Spaces of continuous functions over Dugundji compacta

Functional Analysis 2007-06-26 v2 General Topology

Authors: 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.

Cite

@article{arxiv.math/0610795,
  title  = {Spaces of continuous functions over Dugundji compacta},
  author = {Taras Banakh and Wieslaw Kubis},
  journal= {arXiv preprint arXiv:math/0610795},
  year   = {2007}
}

Comments

8 pages; corrected

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