Dismantlable classifying space for the family of parabolic subgroups of a relatively hyperbolic group

Eduardo Martinez-Pedroza, Piotr Przytycki

Let $G$ be a group hyperbolic relative to a finite collection of subgroups $\mathcal{P}$. Let $\mathcal{F}$ be the family of subgroups consisting of all the conjugates of subgroups i…