Algebrability and Riemann integrability of the composite function

E. D'Aniello, J. Fernández-Sánchez, M. Maiuriello +1

In this note we show that there exist a $2^{\mathfrak{c}}$-generated free algebra $\mathcal{S}\subset {\mathbb{R}}^{\mathbb{R}}$ of Riemann integrable functions and a free algebra $\mat…