15 papers
Baire 1 functions and the strong Choquet property
Ľubica Holá
Let X be a Tychonoff space and B_1(X) be the space of real-valued Baire 1 functions. Using the classical Lebesgue's characterization of Baire 1 functions and the strong Choquet gam…
Completeness properties of the space of quasicontinuous functions
Ľubica Holá
Quasicontinuous functions have found applications in many areas of mathematics. We study completeness properties of the space of quasicontinuous functions equipped with the topolog…
Borel 1 type mappings and the respective equi-families
Marek Balcerzak, Ľubica Holá, Olena Karlova +1
We investigate classes of functions from a topological space to a metric space that are related to those of Borel class 1. Following the idea defining an equi-Baire 1 family (due t…
Properties of equi-Baire 1 and equi-Lebesgue families of functions
Marek Balcerzak, Lubica Hola, Dusan Holy
We study several properties of equi-Baire 1 families of functions between metric spaces. We consider the related equi-Lebesgue property for such families. We examine the behaviour…
Topological Properties of the Space of Convex Minimal Usco Maps
Ľubica Holá, Branislav Novotný
Let X be a Tychonoff space and MC(X) be the space of convex minimal usco maps with values in R, the space of real numbers. Such set-valued maps are important in the study of subdif…
Uniform boundedness in function spaces
Lubica Hola, Ljubisa D. R. Kocinac
We investigate several boundedness properties of function spaces considered as uniform spaces.