Add to ORKGA wide class of problems in mathematical analysis can be described as searching for properties P such that for each F from a given system of mappings F between spaces K and L an arbitrary real valued function on L has the property P if and only if its composition with F also has this property. The inspiration for this text comes from [1], where the mentioned problem is examined in the form of stability of Baire classes of functions towards composition with a continuous mapping between compact topological spaces. The goal of this text will be to get acquainted with the original result, to slightly improve it on compact metric spaces, then to take a closer look at the finer structure of B1 functions and to try to find a similar kind of stabil...
summary:We prove that each linearly continuous function $f$ on $\mathbb R^n$ (i.e., each function co...
Abstract. We study the functions whose composition with Baire class one func-tions are Baire class o...
International audienceA Baire space $B$ and a compact space $K$ satisfy the Namioka property $N(B,K)...
A wide class of problems in mathematical analysis can be described as searching for properties P suc...
Let φ: X → Y be an affine continuous surjection between compact convex sets. Suppose that the canoni...
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...
A topological space $X$ is Baire if the Baire Category Theorem holds for $X$, i.e., the intersection...
Perhaps the earliest results about pointwise compact sets of Baire class-1 functions are the two sel...
In the present work we study the functions of the first Baire class. In the first chapter we prove s...
Dedicated to the memory of Professor D. Doitchinov Abstract. Let a compact Hausdorff space X contain...
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...
The roots of Borel sets go back to the work of Baire [8]. He was trying to come to grips with the ab...
summary:We prove that each linearly continuous function $f$ on $\mathbb R^n$ (i.e., each function co...
Abstract. We study the functions whose composition with Baire class one func-tions are Baire class o...
International audienceA Baire space $B$ and a compact space $K$ satisfy the Namioka property $N(B,K)...
A wide class of problems in mathematical analysis can be described as searching for properties P suc...
Let φ: X → Y be an affine continuous surjection between compact convex sets. Suppose that the canoni...
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...
A topological space $X$ is Baire if the Baire Category Theorem holds for $X$, i.e., the intersection...
Perhaps the earliest results about pointwise compact sets of Baire class-1 functions are the two sel...
In the present work we study the functions of the first Baire class. In the first chapter we prove s...
Dedicated to the memory of Professor D. Doitchinov Abstract. Let a compact Hausdorff space X contain...
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...
The roots of Borel sets go back to the work of Baire [8]. He was trying to come to grips with the ab...
summary:We prove that each linearly continuous function $f$ on $\mathbb R^n$ (i.e., each function co...
Abstract. We study the functions whose composition with Baire class one func-tions are Baire class o...
International audienceA Baire space $B$ and a compact space $K$ satisfy the Namioka property $N(B,K)...