AbstractA definition of “functions of the first class” is proposed, which for functions on metrizable spaces coincides with the classical one. The definition allows us to generalize classical theorems of Baire on functions of the first class and to prove some results relating various continuity and measurability properties of functions
summary:We prove that each linearly continuous function $f$ on $\mathbb R^n$ (i.e., each function co...
summary:We prove that each linearly continuous function $f$ on $\mathbb R^n$ (i.e., each function co...
summary:We prove that each linearly continuous function $f$ on $\mathbb R^n$ (i.e., each function co...
In the present work we study the functions of the first Baire class. In the first chapter we prove s...
Práce je zaměřena na funkce funkce první Baireovy třídy, v první kapitole jsou dokazovány jejich vyb...
We give a new characterization of the Baire class 1 functions (de-ned on an ultrametric space) by sh...
A characterization of functions in the first Baire class in terms of their sets of discontinuity is ...
summary:A characterization of functions in the first Baire class in terms of their sets of discontin...
Let /be a function of the first Borel class mapping the metric space X to the metric space Y: Hansel...
We provide a game theoretical proof of the fact that if f is a function from a zero-dimensional Poli...
Abstract. We study the functions whose composition with Baire class one func-tions are Baire class o...
Perhaps the earliest results about pointwise compact sets of Baire class-1 functions are the two sel...
In this thesis we give an exposition of the notion of category and the Baire category theorem as a s...
In this thesis we give an exposition of the notion of category and the Baire category theorem as a s...
In this thesis we give an exposition of the notion of category and the Baire category theorem as a s...
summary:We prove that each linearly continuous function $f$ on $\mathbb R^n$ (i.e., each function co...
summary:We prove that each linearly continuous function $f$ on $\mathbb R^n$ (i.e., each function co...
summary:We prove that each linearly continuous function $f$ on $\mathbb R^n$ (i.e., each function co...
In the present work we study the functions of the first Baire class. In the first chapter we prove s...
Práce je zaměřena na funkce funkce první Baireovy třídy, v první kapitole jsou dokazovány jejich vyb...
We give a new characterization of the Baire class 1 functions (de-ned on an ultrametric space) by sh...
A characterization of functions in the first Baire class in terms of their sets of discontinuity is ...
summary:A characterization of functions in the first Baire class in terms of their sets of discontin...
Let /be a function of the first Borel class mapping the metric space X to the metric space Y: Hansel...
We provide a game theoretical proof of the fact that if f is a function from a zero-dimensional Poli...
Abstract. We study the functions whose composition with Baire class one func-tions are Baire class o...
Perhaps the earliest results about pointwise compact sets of Baire class-1 functions are the two sel...
In this thesis we give an exposition of the notion of category and the Baire category theorem as a s...
In this thesis we give an exposition of the notion of category and the Baire category theorem as a s...
In this thesis we give an exposition of the notion of category and the Baire category theorem as a s...
summary:We prove that each linearly continuous function $f$ on $\mathbb R^n$ (i.e., each function co...
summary:We prove that each linearly continuous function $f$ on $\mathbb R^n$ (i.e., each function co...
summary:We prove that each linearly continuous function $f$ on $\mathbb R^n$ (i.e., each function co...
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