Free group of Hamel functions
Tom 125 / 2023
Banach Center Publications 125 (2023), 91-98
MSC: Primary 20B99; Secondary 26A99, 54C40, 26A21.
DOI: 10.4064/bc125-8
Streszczenie
We construct a free group of continuum many generators among those autobijections of which are also Hamel bases of \mathbb R^2, with the identity function included. We also find two new cases when a real function is a composition of two real functions which are Hamel bases of \mathbb R^2.
