Realization Spaces of Polytopes

1996
ISBN: 978-3-540-62084-6
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1643, 188 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 312 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Richter-Gebert, Jürgen

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Topologie Algebraische Topologie

Inhaltsverzeichnis

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