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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…