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Continuous images and other topological properties of Valdivia compacta

Volume 162 / 1999

Ondřej Kalenda Fundamenta Mathematicae 162 (1999), 181-192 DOI: 10.4064/fm-162-2-181-192

Abstract

We study topological properties of Valdivia compact spaces. We prove in particular that a compact Hausdorff space K is Corson provided each continuous image of K is a Valdivia compactum. This answers a question of M. Valdivia (1997). We also prove that the class of Valdivia compacta is stable with respect to arbitrary products and we give a generalization of the fact that Corson compacta are angelic.

Authors

  • Ondřej Kalenda

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