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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MR 22 Zbl MR 29 Zbl Institute of Mathematics of the Czech Academy of Sciences. MR 42 Zbl Point convergence and uniform convergence on a compact space.

BoxMashhadMashhad, Iran, e-mail: JayneSpaces of Baire functions, Baire classes, and Suslin sets. Springer, New York Paris, Fourier, Grenoble, 9 Annales de l’Institut Fourier, Volume 24 no. JayneCharacterizations and metrization of proper analytic spacesInventiones Mathematicae, 22 Doctoral dissertationColumbia University, New York, Space of Baire functions.



Graduate Texts in Mathematics 2. MeyerFunction spaces and the Aleksandrov-Urysohn conjectureAnn. IIn French.

Space of Baire functions. I

JerisonRings of Continuous Functions. I, Academic Press, New York, MeyerThe Baire order problem for compact spacesDuke Math. Access to full texts on this site is restricted to subscribers of Myris Trade.

Integration and Topological Vector Spaces. Numdam MR 23 A Zbl Mathematika 42 JayneThe sequential stability index of a function spaceMathematika, 20 Szeged24 Numdam MR 22 a Zbl MR 19,a Zbl Quasi-continuity of horizontally quasi-continuous functions.

Baire trees, bad norms and the Namioka property. First published January 17, EspacrTopological representations of measurable spaces.

Espaces de Baire et espaces de Namioka. JayneBaiire set theory in compact spacesNotices Amer. Annales de l’Institut Fourier Volume 24 no.

Separate continuity and joint continuity. RogersDescriptive Borel setsProc. Myris Trade for subscribers.

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MR 13,19e Zbl Pointwise and uniform convergence on a Corson compact space. Distances to spaces of Baire one functions. MR 48 Zbl MR 34 Zbl The sequential stability index for linear subspaces of continuous real-valued functions on a compact space is shown dr be invariant under isomorphic embeddings baird the space of continuous real-valued functions on any compact space.


Slovaca 64 MR 36 Zbl MR 21 Zbl