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 |

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