Lattice characterization of convex 3-polytopes and of polygonizations of 2-manifolds

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Abstract

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.

Original languageEnglish
Pages (from-to)57-64
Number of pages8
JournalIsrael Journal of Mathematics
Volume8
Issue number1
DOIs
StatePublished - 1 Mar 1970
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics (all)

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