Resumen de Sierpinski-Zygmund functions and other problems on lineability

José L. Gámez Merino, Gustavo Adolfo Muñoz Fernández , Víctor Sánchez, Juan Benigno Seoane Sepúlveda

• We find large algebraic structures inside the following sets of pathological functions: (i) perfectly everywhere surjective functions, (ii) differentiable functions with almost nowhere continuous derivatives, (iii) differentiable nowhere monotone functions, and (iv) Sierpinski-Zygmund functions. The conclusions obtained on (i) and (iii) are improvements of some already known results.