Lectures on Sphere Arrangements – the Discrete Geometric Side

• Main Author: Bezdek, Károly (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2013.
• Series: Fields Institute Monographs, 32
• Subjects: Mathematics.; Convex geometry.; Discrete geometry.; Polytopes.; Convex and Discrete Geometry.

This monograph gives a short introduction to parts of modern discrete geometry, in addition to leading the reader to the frontiers of geometric research on sphere arrangements. The readership is aimed at advanced undergraduate and early graduate students, as well as interested researchers.  It conta...

Table of Contents:

• 1. Unit Sphere Packings
• 2. Proofs on Unit Sphere Packings
• 3. Contractions of Sphere Arrangements
• 4. Proofs on Contractions of Sphere Arrangements
• 5. Ball-Polyhedra and Spindle Convex Bodies
• 6. Proofs on Ball-Polyhedra and Spindle Convex Bodies
• 7. Coverings by Cylinders
• 8. Proofs on Coverings by Cylinders
• 9. Research Problems - an Overview
• Glossary
• References.