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arXiv · 1307.0331

Strong c-algebrability of strong Sierpiński-Zygmund, smooth nowhere analytic and other sets of functions

Artur Bartoszewicz·Marek Bienias·Malgorzata Filipczak·Szymon Glab
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Abstract

We present a useful technique of proving strong $\mathfrak{c}$-algebrability. As an outcome we obtain the strong $\mathfrak{c}$-algebrability of the following sets of functions: strong Sierpiński-Zygmund, nowhere Hölder, Bruckner-Garg, nowhere monotone differentiable, a certain Baire class, smooth and nowhere analytic functions.

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Artur Bartoszewicz, Marek Bienias, Malgorzata Filipczak, Szymon Glab. 2013-10-28. Strong c-algebrability of strong Sierpiński-Zygmund, smooth nowhere analytic and other sets of functions. https://arxiv.org/abs/1307.0331

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