Let C be a polygonization of a 2-dimensional closed manifold without boundary, and L(C) the set of all the faces of C, partially ordered by inclusion, with adjoinment of a minimal and a maximal element. Then L(C) is a lattice, and its characterization is given here. Also a characterization of the lattice of the faces of a convex 3-polytope is given.
ASJC Scopus subject areas
- Mathematics (all)