2 papers
math.GN2024
Point-set games and functions with the hereditary small oscillation property
Marek Balcerzak, Tomasz Natkaniec, Piotr Szuca
Given a metric space , we consider certain families of functions having the hereditary oscillation property HSOP and the hereditary continuous restriction pro…
math.GN2024
Borsik's properties of topological spaces and their applications
Tomasz Natkaniec
Let X be an uncountable Polish space. Lubica Hola showed recently that there are 2^continuum many quasi-continuous real valued functions defined on the uncountable Polish space tha…