Geodesic
Préimages d’espaces héréditairement de Baire
Fundamenta Mathematicae, Tome 153 (1997) no. 2, pp. 191-197.

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

The main result is slightly more general than the following statement: Let f: X → Y be a quasi-perfect mapping, where X is a regular space and Y a Hausdorff totally non-meagre space; if X or Y is χ-scattered, or if Y is a Lasnev space, then X is totally non-meagre. In particular, the product of a compact space X and a Hausdorff regular totally non-meagre space Y which is χ-scattered or a Lasnev space, is totally non-meagre.
DOI : 10.4064/fm-153-2-191-197
Mots-clés : Baire space, totally non-meagre space, Lasnev space, χ-scattered space, quasi-perfect map

Ahmed Bouziad 1

1 
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Ahmed  Bouziad. Préimages d’espaces héréditairement de Baire. Fundamenta Mathematicae, Tome 153 (1997) no. 2, pp. 191-197. doi : 10.4064/fm-153-2-191-197. http://geodesic.mathdoc.fr/articles/10.4064/fm-153-2-191-197/

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