Algebrability, non-linear properties, and special functions
Functional Analysis
2015-10-06 v1
Abstract
We construct uncountably generated algebras inside the following sets of special functions: Sierpi\'nski-Zygmund functions, perfectly everywhere surjective functions and nowhere continuous Darboux functions. All conclusions obtained in this paper are improvements of some already known results.
Cite
@article{arxiv.1109.3674,
title = {Algebrability, non-linear properties, and special functions},
author = {Artur Bartoszewicz and Szymon Glab and Daniel Pellegrino and Juan B. Seoane-Sepúlveda},
journal= {arXiv preprint arXiv:1109.3674},
year = {2015}
}