Realization Spaces of Polytopes [electronic resource] / by Jürgen Richter-Gebert.
Material type: TextSeries: Lecture Notes in Mathematics ; 1643Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1996Description: XII, 188 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540496403Subject(s): Mathematics | Geometry, algebraic | Combinatorics | Discrete groups | Mathematics | Convex and Discrete Geometry | Combinatorics | Algebraic GeometryAdditional physical formats: Printed edition:: No titleDDC classification: 516.1 LOC classification: QA639.5-640.7QA640.7-640.77Online resources: Click here to access onlineCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK1763 |
The objects and the tools -- The universality theorem -- Applications of university -- Three-dimensional polytopes -- Alternative construction techniques -- Problems.
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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