منابع مشابه
Recovering Baire One Functions on Ultrametric Spaces
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.
متن کاملFunctions 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.
متن کاملOn the Products of Bounded Dar- Boux Baire One Functions
It is shown that for each k > 1, if f is a Baire one function and f is the product of k bounded Darboux (quasi–continuous) functions, then f is the product of k bounded Darboux (quasi–continuous) Baire one functions as well.
متن کاملConnectivity 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.
متن کاملOn Baire and Harmonic Functions
We consider two spaces of harmonic functions. First, the space H(U) of functions harmonic on a bounded open subset U of R and continuous to the boundary. Second, the space H0(K) of functions on a compact subset K of R n which can be harmonically extended on some open neighbourhood of K. A bounded open subset U of R is called stable if the space H(U) is equal to the uniform closure of H0(U ). We...
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ژورنال
عنوان ژورنال: Applied General Topology
سال: 2019
ISSN: 1989-4147,1576-9402
DOI: 10.4995/agt.2019.10776