Special sets of reals and weak forms of normality on Isbell--Mrówka spaces
We recall some classical results relating normality and some natural weakenings of normality in -spaces over almost disjoint families of branches in the Cantor tree to special sets of reals like -sets, -sets and -sets. We introduce a new class of special sets of reals which corresponds to the corresponding almost disjoint family of branches being -separated. This new class fits between -sets and perfectly meager sets. We also discuss conditions for an almost disjoint family being potentially...