2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229536We describe a cocompact model for the classifying space for proper actions of the mapping class group of a surface with punctures and boundary components. Our construction relies on a known model for the case of a closed surface and uses an induction on the number of punctures and boundary components.The paper will appear in the Muenster Journal for MathematicsAlgebraic TopologyGroup Theory55M07; 30F60text