On strong porosity of some families of functions

Abstract

The paper deals with the strong porosity of some families of real~\linebreak functions continuous with respect to a given topology $\T$ or $\A$-continuous (i.e., continuous with respect to some special family $\A$ of sets of the real line).
Particularly,~\linebreak
porosity of those families is investigated in space of  the Baire 1 functions or in~the~space of the Baire 1 and Darboux functions.