2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75527In this survey on combinatorial properties of triangulated manifolds we discuss various lower bounds on the number of vertices of simplicial and combinatorial manifolds. Moreover, we give a list of all known examples of vertex-minimal triangulations.37 pages, 1 figureCombinatoricsGeometric Topology57Q15; 52B05; 05C30; 52B70text