Préimages d’espaces héréditairement de Baire
Tom 153 / 1997
Fundamenta Mathematicae 153 (1997), 191-197
DOI: 10.4064/fm-153-2-191-197
Streszczenie
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.
