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 48 Zbl ChoquetEnsembles K-analytiques et K-Sousliniens. Numdam MR 23 A Bairre MR 29 Zbl MR 43 Zbl Mathematika 42 Numdam MR 22 a Zbl Integration and Topological Vector Spaces. Quasi-continuity of horizontally quasi-continuous functions.

France, 88 About Help Legal notice Contact. Institute of Mathematics of the Czech Academy of Sciences. 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.


Space of Baire functions.

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Biographie de René Baire

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Space of Baire functions. I

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