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arXiv · 1109.3674

Algebrability, non-linear properties, and special functions

Artur Bartoszewicz·Szymon Glab·Daniel Pellegrino·Juan B. Seoane-Sepúlveda
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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.

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Artur Bartoszewicz, Szymon Glab, Daniel Pellegrino, Juan B. Seoane-Sepúlveda. 2011-09-16. Algebrability, non-linear properties, and special functions. https://arxiv.org/abs/1109.3674

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