This chapter is devoted to the proof of Proposition 6.2.1 (Openness). The main ingredient of the proof is the study of the behavior of hidden isometric hemispheres, namely those isometric hemispheres which intersect the Ford domain but do not support 2-dimensional faces of the Ford domain (Definition 7.1.1).
KeywordsConvex Hull Simplicial Complex Elliptic Generator Convex Polyhedron Condition Duality
Unable to display preview. Download preview PDF.