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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Espaces de Baire et espaces de Namioka. IIn French. Paris, RudinContinuous functions on compact spaces without perfect subsetsProc. MR 21 Zbl Fourier, Grenoble, 9 Numdam MR 23 A Zbl Quasicontinuity and Namioka’s theorem.

Mathematica Bohemica

MR 36 Zbl Journals Seminars Books Theses Authors. Myris Trade for subscribers. Integration and Topological Vector Spaces.


Numdam MR 22 a Zbl Slovaca 64 JayneDescriptive set theory in compact spacesNotices Amer. Pointwise and uniform convergence on a Corson compact space. JerisonRings of Continuous Functions.

Space of Baire functions.

I, Academic Press, New York, MR 48 Zbl JayneTopological representations of measurable spaces. Mathematika 42 KuratowskiTopologyVol.

RogersDescriptive Borel setsProc. MR 29 Zbl Springer, New York Separate continuity and joint continuity. Baire trees, bad norms and sepace Namioka property.

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.

MR 13,19e Zbl MeyerThe Baire order problem for compact espwceDuke Math. Annales de l’Institut Fourier, Volume 24 no. ChobanBaire sets in complete topological spacesUkrain Mat. MR 19,46b Zbl About Help Legal notice Contact. Continuity of separately continuous mappings. MR 42 Zbl Some applications of projective resolutions of identity.

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First published January 17, MR 49 Zbl France, 88 Graduate Texts in Mathematics 2. Institute of Mathematics of bare Czech Academy of Sciences.


Point convergence and uniform convergence on a compact space. Szeged24 ,