Polyhedral Subdivisions
and Projections of Polytopes
Jörg Rambau
Dissertation (Advisor: Günter M. Ziegler, TU Berlin)
Contents
Contents
List of Figures
Introduction
Objects of Study
Polyhedral Subdivisions and Triangulations
Projections and Subdivisions
Links to Other Fields
Computational Geometry
Order Theory
Oriented Matroid Theory
Combinatorial Models
Polynomials in Several Variables
The Generalized Baues Conjecture
Introduction
Functions on the Chamber Complex
Validity in Low Codimension
How to Construct a Counterexample
An Explicit Counterexample
Triangulations of Cyclic Polytopes
Introduction
A Combinatorial Framework for Triangulations
Cyclic Polytopes
Special Triangulations of Cyclic Polytopes
The Higher Stasheff-Tamari Orders
Shellability
Higher Bruhat Orders
The Connection between
and
Glossary of Basic Concepts
Partially Ordered Sets
Topology
Polytopes
Polytopal and Simplicial Complexes
Oriented Matroids
Notation
Bibliography
Index
Last Update: March 20, 1998 by
Jörg Rambau
© 1998 by Jörg Rambau, Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)
URL:
http://www.zib.de/rambau