Author	Richter-Gebert, Jรผrgen. author
Title	Realization Spaces of Polytopes [electronic resource] / by Jรผrgen Richter-Gebert
Imprint	Berlin, Heidelberg : Springer Berlin Heidelberg, 1996
Connect to	http://dx.doi.org/10.1007/BFb0093761
Descript	XII, 188 p. online resource

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

The objects and the tools -- The universality theorem -- Applications of university -- Three-dimensional polytopes -- Alternative construction techniques -- Problems

1. Mathematics
2. Algebraic geometry
3. Convex geometry
4. Discrete geometry
5. Combinatorics
6. Mathematics
7. Convex and Discrete Geometry
8. Combinatorics
9. Algebraic Geometry