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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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First published January 17, Myris Trade for subscribers.

Mathematica Bohemica

MR 43 Zbl Springer, New York Separate continuity and joint continuity. IIn French.

Mathematics Lecture Note Series. Paris, Paris, A MR 22 Zbl MR 38 Zbl PonomarevBorel sets in perfectly normal bicompactaSoviet Math.

MR 19,a Zbl ChoquetEnsembles K-analytiques et K-Sousliniens. Space of Baire functions.

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MeyerFunction spaces and the Aleksandrov-Urysohn conjectureAnn. Access to full texts on this site is restricted to subscribers of Myris Trade. KuratowskiTopologyVol. Rogers espacce, Descriptive Borel setsProc. Some applications of projective resolutions of identity. MR 21 Zbl The sequential stability index 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.

Annales de l’Institut Fourier, Volume 24 no. MR 48 Zbl France, 88 Quasicontinuity dde Namioka’s theorem.

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Mathematika 42 Slovaca 64 MR 36 Zbl Joint continuity of separately continuous functions. MR 19,46b Zbl Arhangel’SkiiEspxce the cardinality of first countable compactaSoviet Math.

Annales de l’Institut Fourier Volume 24 no. MR 42 Zbl Graduate Texts in Mathematics 2.

MR 29 Zbl Szeged24 Point convergence and uniform convergence on a compact space. MR 34 Zbl Abire 13,19e Zbl Baire trees, bad norms and the Namioka property.

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Institute of Espsce of the Czech Academy of Sciences. Espaces de Baire et espaces de Namioka. JayneCharacterizations and metrization of proper analytic spacesInventiones Mathematicae, 22 RudinContinuous functions on compact spaces without perfect subsetsProc.