Inserted: 4 apr 2003
Last Updated: 27 jun 2019
Journal: Surveys in differential geometry
Lectures on Geometry and Topology held in honor of Calabi, Lawson, Siu and Uhlenbeck at Harvard University, May 3--5, 2002
In 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.