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＜E-Book＞
Realization Spaces of Polytopes / by Jürgen Richter-Gebert
(Lecture Notes in Mathematics. ISSN:16179692 ; 1643)

Edition	1st ed. 1996.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	1996
Size	XII, 188 p : online resource
Authors	*Richter-Gebert, Jürgen author SpringerLink (Online service)
Subjects	LCSH:Convex geometry  LCSH:Discrete geometry LCSH:Discrete mathematics LCSH:Algebraic geometry FREE:Convex and Discrete Geometry FREE:Discrete Mathematics FREE:Algebraic Geometry
Notes	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 HTTP:URL=https://doi.org/10.1007/BFb0093761

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