Préimages d’espaces héréditairement de Baire

Ahmed Bouziad

ArticleOriginal scientific text

Title

Préimages d’espaces héréditairement de Baire

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Affiliations

Département de Mathématiques, CNRS UPRES-A 6085 Université de Rouen 76821 Mont-Saint-Aignan, France

Abstract

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.

Keywords

ENG

Baire space, totally non-meagre space, Lasnev space, χ-scattered space, quasi-perfect map

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Title

Préimages d’espaces héréditairement de Baire

Affiliations

Abstract

Keywords

Bibliography