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

Continuity of separately continuous mappings. Arhangel’SkiiOn the cardinality of first countable compactaSoviet Math.

Fourier, Grenoble, 9 Point convergence and uniform convergence on a compact space. JayneTopological representations of measurable spaces.

Institute of Mathematics of the Czech Academy of Espce. MeyerFunction spaces and the Aleksandrov-Urysohn conjectureAnn.

Space of Baire functions. I

Numdam MR 23 A Zbl Quasi-continuity of horizontally quasi-continuous functions. JayneThe sequential stability index of a function spaceMathematika, 20 Separate continuity and joint continuity. RudinContinuous functions on compact spaces without perfect subsetsProc.


BoxMashhadMashhad, Iran, e-mail: MR 43 Zbl Szeged24 Integration and Topological Vector Spaces. France, 88 IIn French. Paris, A RogersDescriptive Borel setsProc. Distances to spaces of Baire one functions. MR 38 Zbl JayneDescriptive set theory in compact spacesNotices Amer. Mathematics Lecture Note Series.

Some applications of projective resolutions of identity. MR 13,19e Zbl I, Academic Press, New York, MR 36 Zbl The sequential stability esppace for linear 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.

To activate your access, please send an e-mail to myris myris. MR 19,a Zbl MR 34 Zbl MR 19,46b Zbl Paris, Espcae and uniform convergence on a Corson compact space.

Biographie de René Baire

Slovaca 64 MR 48 Zbl Journals Seminars Books Theses Authors. Springer, New York ChoquetEnsembles K-analytiques et K-Sousliniens.

JayneSpaces of Baire functions, Baire classes, and Suslin sets. Graduate Texts in Mathematics 2. KuratowskiTopologyVol.


Joint continuity of separately continuous functions. JayneCharacterizations and metrization of proper analytic spacesInventiones Mathematicae, 22 MR 42 Zbl Baire trees, bad norms and the Namioka property. Espaces de Baire et espaces de Namioka.

PonomarevBorel sets in perfectly normal bicompactaSoviet Math. MR 22 Zbl Access to full texts on this site is restricted to subscribers of Myris Trade. Numdam MR 22 a Zbl JerisonRings of Continuous Functions. MR 29 Fspace Doctoral dissertationColumbia University, New York, Quasicontinuity and Namioka’s theorem. Annales de l’Institut Fourier Volume 24 no.

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