Extension of bounded Baire-one functions vs extension of unbounded Baire-one functions
نویسندگان
چکیده
منابع مشابه
On 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 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 کاملRecovering 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 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 کاملWhen are Borel functions Baire functions ?
The following two theorems give the flavour of what will be proved. THEOREM. Let Y be a complete metric space. Then the families of first Baire class functions and of first Borel class functions from [0, 1] to Y coincide if and only if Y is connected and locally connected. THEOREM. Let Y be a separable metric space. Then the families of second Baire class functions and of second Borel class fun...
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ژورنال
عنوان ژورنال: Visnyk Lvivskogo Universytetu. Seriya Mekhaniko-Matematychna
سال: 2019
ISSN: 2078-3744
DOI: 10.30970/vmm.2018.86.103-108