On Classifying spaces for the family of virtually cyclic subgroups Daniel Juan-Pineda UNAM, Morelia Ian J. Leary University of Southampton Abstract: We construct a model for the universal space for $G$-actions with virtually cyclic stabilizers for groups $G$ in a class that includes all word hyperbolic groups. We introduce a new notation for this space, consisting of a doubly-underlined `E' followed by $G$. Status: preprint.