2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66889In this paper we survey with complete proofs some well--known, but hard to find, results about constructing closed embedded minimal surfaces in a closed 3-dimensional manifold via min--max arguments. This includes results of J. Pitts, F. Smith, and L. Simon and F. Smith.42 pages, 13 figuresAnalysis of PDEsDifferential GeometryGeometric Topology49Q05; 53A10; 49Q15text