We investigate the additivity A and lineability L cardinal coefficients for the following classes of functions: ES \ SES of everywhere surjective functions that are not strongly everywhere surjective, Darboux-like, Sierpinski-Zygmund, surjective, and their corresponding intersections. The classes SES and ES have been shown to be 2^c-lineable. In contrast, although we prove here that ES \ SES$ is c⁺-lineable, it is still unclear whether it can be proved in ZFC that ES \ SES is 2^c-lineable. Moreover, we prove that if c is a regular cardinal number, then A(ES \ SES)≤ c. This shows that, for the class ES \ SES, there is an unusual big gap between the numbers A and L.

Full text on line in pdf format.

Last modified December 20, 2016.