2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74253In this paper, we study the properties of closure operators obtained as initial lifts along a reflector, and compactness with respect to them in particular. Applications in the areas of topology, topological groups and topological *-algebras are presented.v1 - Minor corrections compared to v0.9Category TheoryFunctional Analysis18A32, 54B30; 18B30, 22A05, 46K10text