Geodesic
Continuous images and other topological properties of Valdivia compacta
Fundamenta Mathematicae, Tome 162 (1999) no. 2, pp. 181-192

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm-162-2-181-192
Keywords: Corson compact space, Valdivia compact space, countably compact space, Fréchet-Urysohn space, continuous image

Ondřej Kalenda 1

1 
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Ondřej Kalenda. Continuous images and other topological properties of Valdivia compacta. Fundamenta Mathematicae, Tome 162 (1999) no. 2, pp. 181-192. doi: 10.4064/fm-162-2-181-192

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