[Some generic properties in analysis]
We consider some classical genericity results in the sense of Baire categories, and we study whether they can be extended to the settings supplied by prevalence and by HP-residual sets.
Nous considérons certains résultats de généricité au sens des catégories de Baire, et étudions s'ils peuvent ou non s'étendre aux cadres fournis par la prévalence, et par les ensembles HP-résiduels.
Accepted:
Published online:
Aurélia Fraysse 1; Stéphane Jaffard 1; Jean-Pierre Kahane 2
@article{CRMATH_2005__340_9_645_0,
author = {Aur\'elia Fraysse and St\'ephane Jaffard and Jean-Pierre Kahane},
title = {Quelques propri\'et\'es g\'en\'eriques en analyse},
journal = {Comptes Rendus. Math\'ematique},
pages = {645--651},
publisher = {Elsevier},
volume = {340},
number = {9},
year = {2005},
doi = {10.1016/j.crma.2005.03.029},
language = {fr},
}
Aurélia Fraysse; Stéphane Jaffard; Jean-Pierre Kahane. Quelques propriétés génériques en analyse. Comptes Rendus. Mathématique, Volume 340 (2005) no. 9, pp. 645-651. doi : 10.1016/j.crma.2005.03.029. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2005.03.029/
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