Linear extensions of some Baire-one functions
نویسندگان
چکیده
منابع مشابه
Functions Whose Composition with Baire Class One Functions Are Baire Class One
We study the functions whose composition with Baire class one functions are Baire class one functions. We first prove some characterizations of such functions, then investigate a subclass of such functions which are defined in a natural way.
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In this paper, we give alternative proofs of some of the properties of Baire-1 functions with respect to the new characterization of Baire-1 functions due to P.Y. Lee, W.K. Tang and D. Zhao. Some well-known functions were given to illustrate some of these properties. Mathematics Subject Classification: Primary 26A21
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We find a characterization of those Polish ultrametric spaces on which each Baire one function is first return recoverable. The notion of pseudo-convergence originating in the theory of valuation fields plays a crucial role in the characterization.
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توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی
15 صفحه اولConnectivity of diagonal products of Baire one functions
We characterize those Baire one functions f for which the diagonal product x 7→ (f(x), g(x)) has a connected graph whenever g is approximately continuous or is a derivative.
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ژورنال
عنوان ژورنال: Archiv der Mathematik
سال: 2017
ISSN: 0003-889X,1420-8938
DOI: 10.1007/s00013-017-1102-8