AbstractLet X be a compact convex subset of a locally convex space. We show that any bounded Baire-one function defined on extX can be extended to an affine Baire-one function on X if and only if X is a Choquet simplex and extX satisfies a certain topological property
AbstractVery recently Tkachuk has proved that for a completely regular Hausdorff space X the space C...
Let /be a function of the first Borel class mapping the metric space X to the metric space Y: Hansel...
Perhaps the earliest results about pointwise compact sets of Baire class-1 functions are the two sel...
AbstractLet X be a compact convex subset of a locally convex space. We show that any bounded Baire-o...
summary:Let $\Cal H$ be a simplicial function space on a metric compact space $X$. Then the Choquet ...
This thesis consists of five research papers. The first paper: We prove that under certain condition...
Let X be a locally compact Hausdorff space and let C-b(X; R) be the space of all continuous and boun...
Classical Choquet's theory deals with compact convex subsets of locally convex spaces. This thesis d...
We provide a game theoretical proof of the fact that if f is a function from a zero-dimensional Poli...
Let φ: X → Y be an affine continuous surjection between compact convex sets. Suppose that the canoni...
AbstractLet X be a compact convex subset of a Hausdorff locally convex real topological vector space...
In this final project we discuss about Baire-1 functions on topological spaces. A real-valued functi...
AbstractWe investigate the possibility of extension of Baire-one functions from subspaces of topolog...
The thesis consists of four research papers. The first three deal with the Choquet theory of functio...
Let X be a complex L 1-predual, non-separable in general. We investigate extendability of complex-va...
AbstractVery recently Tkachuk has proved that for a completely regular Hausdorff space X the space C...
Let /be a function of the first Borel class mapping the metric space X to the metric space Y: Hansel...
Perhaps the earliest results about pointwise compact sets of Baire class-1 functions are the two sel...
AbstractLet X be a compact convex subset of a locally convex space. We show that any bounded Baire-o...
summary:Let $\Cal H$ be a simplicial function space on a metric compact space $X$. Then the Choquet ...
This thesis consists of five research papers. The first paper: We prove that under certain condition...
Let X be a locally compact Hausdorff space and let C-b(X; R) be the space of all continuous and boun...
Classical Choquet's theory deals with compact convex subsets of locally convex spaces. This thesis d...
We provide a game theoretical proof of the fact that if f is a function from a zero-dimensional Poli...
Let φ: X → Y be an affine continuous surjection between compact convex sets. Suppose that the canoni...
AbstractLet X be a compact convex subset of a Hausdorff locally convex real topological vector space...
In this final project we discuss about Baire-1 functions on topological spaces. A real-valued functi...
AbstractWe investigate the possibility of extension of Baire-one functions from subspaces of topolog...
The thesis consists of four research papers. The first three deal with the Choquet theory of functio...
Let X be a complex L 1-predual, non-separable in general. We investigate extendability of complex-va...
AbstractVery recently Tkachuk has proved that for a completely regular Hausdorff space X the space C...
Let /be a function of the first Borel class mapping the metric space X to the metric space Y: Hansel...
Perhaps the earliest results about pointwise compact sets of Baire class-1 functions are the two sel...