3 papers
math.FA2023
On strong algebrability of families of non-measurable functions of two variables
Szymon Głcab, Mateusz Lichman, Michał Pawlikowski
Recently Tomasz Natkaniec in [On lineability of families of non-measurable functions of two variable. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM, 115(1):Paper No. 33…
math.GR2023
Free group of Hamel functions
Mateusz Lichman, Michał Pawlikowski, Szymon Smolarek +1
We construct a free group of continuum many generators among those autobijections of which are also Hamel bases of , with identity function included. We…
math.MG2020
On functions preserving products of certain classes of semimetric spaces
Mateusz Lichman, Piotr Nowakowski, Filip Turoboś
In the paper we continue the research of Borsík and Doboš on functions which allow us to introduce a metric to the product of metric spaces. In this paper we extend their scope on…