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AuthorRichter-Gebert, Jรผrgen. author
TitleRealization Spaces of Polytopes [electronic resource] / by Jรผrgen Richter-Gebert
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1996
Connect tohttp://dx.doi.org/10.1007/BFb0093761
Descript XII, 188 p. online resource

SUMMARY

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


CONTENT

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


Mathematics Algebraic geometry Convex geometry Discrete geometry Combinatorics Mathematics Convex and Discrete Geometry Combinatorics Algebraic Geometry



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