Richter-Gebert, Jürgen.
Realization Spaces of Polytopes [electronic resource] / by Jürgen Richter-Gebert. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1996. - XII, 188 p. online resource. - Lecture Notes in Mathematics, 1643 0075-8434 ; . - Lecture Notes in Mathematics, 1643 .
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.
9783540496403
10.1007/BFb0093761 doi
Mathematics.
Geometry, algebraic.
Combinatorics.
Discrete groups.
Mathematics.
Convex and Discrete Geometry.
Combinatorics.
Algebraic Geometry.
QA639.5-640.7 QA640.7-640.77
516.1
Realization Spaces of Polytopes [electronic resource] / by Jürgen Richter-Gebert. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1996. - XII, 188 p. online resource. - Lecture Notes in Mathematics, 1643 0075-8434 ; . - Lecture Notes in Mathematics, 1643 .
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.
9783540496403
10.1007/BFb0093761 doi
Mathematics.
Geometry, algebraic.
Combinatorics.
Discrete groups.
Mathematics.
Convex and Discrete Geometry.
Combinatorics.
Algebraic Geometry.
QA639.5-640.7 QA640.7-640.77
516.1