Préimages d’espaces héréditairement de Baire
Fundamenta Mathematicae, Tome 153 (1997) no. 2, pp. 191-197
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.
Mots-clés :
Baire space, totally non-meagre space, Lasnev space, χ-scattered space, quasi-perfect map
@article{10_4064_fm_153_2_191_197,
author = {Ahmed Bouziad},
title = {Pr\'eimages d{\textquoteright}espaces h\'er\'editairement de {Baire}},
journal = {Fundamenta Mathematicae},
pages = {191--197},
year = {1997},
volume = {153},
number = {2},
doi = {10.4064/fm-153-2-191-197},
language = {fr},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-153-2-191-197/}
}
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
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