The book collects results about realization spaces of polytopes. It gives a presentation of the author's "Universality Theorem for 4-polytopes". It is a comprehensive survey of the important results that have been obtained in that direction. The approaches chosen are direct and very geometric in nature. The book is addressed to researchers and to graduate students. The former will find a comprehensive source for the above mentioned results. The latter will find a readable introduction to the field. The reader is assumed to be familiar with basic concepts of linear algebra.

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Bibliographic Information

Book Title: Realization Spaces of Polytopes
Authors: Jürgen Richter-Gebert
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0093761
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1996
Softcover ISBN: 978-3-540-62084-6Published: 16 December 1996
eBook ISBN: 978-3-540-49640-3Published: 13 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XII, 188
Topics: Convex and Discrete Geometry, Combinatorics, Algebraic Geometry

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Table of contents (7 chapters)

Front Matter

Introduction

The objects and the tools

The universality theorem

Applications of university

Three-dimensional polytopes

Alternative construction techniques

Problems

Back Matter

About this book