Realization Spaces of Polytopes

Jürgen Richter-Gebert (auth.)3540620842, 9783540620846

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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Table of contents :
Introduction….Pages 1-11
The objects and the tools….Pages 13-40
The universality theorem….Pages 41-76
Applications of university….Pages 77-115
Three-dimensional polytopes….Pages 117-147
Alternative construction techniques….Pages 149-172
Problems….Pages 173-177