Soit X un espace topologique à base dénombrable. Les parties fermées irréductibles de Baire de X sont les adhérences des points. Soit x € X. Supposons que x. Relèvements dans un espace de Baire Parmi les nombreuses définitions équivalentes des espaces de Baire, retenons celleci: un espace topologique (E, 6) est. On donne quelques conditions pour l’existence de fonctions réelles de Baire de toutes les classes sur certains espaces K-analytiques (appelés espaces.

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Some applications of projective resolutions of identity. MR 19,a Zbl Norm continuity of weakly continuous mappings into Banach spaces. Space of Baire functions. MR 48 Zbl JayneThe sequential stability index of a function spaceMathematika, 20 I, Academic Press, New York, MR 36 Zbl Separate continuity and joint continuity. Access to full texts on this site is restricted to subscribers of Myris Trade.


Paris, Doctoral dissertationColumbia University, New York, Annales de l’Institut Se, Volume 24 no. The sequential stability index for esspace subspaces of continuous real-valued functions on a compact space is shown to be invariant under isomorphic embeddings in the space of continuous real-valued functions on any compact space. Graduate Texts in Mathematics 2. ChobanBaire sets in complete topological spacesUkrain Mat. To activate your access, please send an e-mail to myris myris.

Mathematika 42 Mathematics Lecture Note Series.

Numdam MR 23 A Zbl MR 32 Zbl JayneTopological representations of measurable spaces. MR 43 Zbl Pointwise and uniform convergence on a Corson compact space. Arhangel’SkiiOn the cardinality of first countable compactaSoviet Math. Journals Seminars Books Theses Authors. Paris, A MR 21 Zbl JerisonRings of Abire Functions.

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Fourier, Grenoble, 9 MeyerFunction spaces and the Aleksandrov-Urysohn conjectureAnn. Annales de l’Institut Fourier Volume 24 no. Institute of Mathematics of the Czech Academy of Sciences.

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Bair to spaces of Baire dd functions. Quasi-continuity of horizontally quasi-continuous functions. JayneSpaces of Baire functions, Baire classes, and Suslin sets. MR 13,19e Zbl MR 38 Zbl RogersDescriptive Borel setsProc. JayneCharacterizations and metrization of proper analytic spacesInventiones Mathematicae, 22 MeyerThe Baire order problem for compact spacesDuke Math. Baire trees, bad norms and the Namioka property.

René Baire (21 janvier 1874 [Paris] – 5 juillet 1932 [Chambéry])

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ChoquetEnsembles K-analytiques et K-Sousliniens. Continuity of separately continuous mappings. Slovaca 64 ,