On the set covering polytope: II. Lifting the facets with coefficients in

In an earlier paper the authors characterized the class of facets of the set covering polytope defined by inequalities with coefficients equal to 0, 1 or 2. In this paper they connect that characterization to the theory of facet lifting. In particular, the authors introduce a family of lower dimensional polytopes and associated inequalities having only three nonzero coefficients, whose lifting yields all the valid inequalities in the above class, with the lifting coefficients given by closed form expressions. [See IAOR 43087.]