Realization Spaces of Polytopes

  • Authors
  • Jürgen Richter-Gebert

Part of the Lecture Notes in Mathematics book series (LNM, volume 1643)

Table of contents

  1. Front Matter
    Pages I-XI
  2. Jürgen Richter-Gebert
    Pages 1-11
  3. Jürgen Richter-Gebert
    Pages 13-40
  4. Jürgen Richter-Gebert
    Pages 41-76
  5. Jürgen Richter-Gebert
    Pages 77-115
  6. Jürgen Richter-Gebert
    Pages 117-147
  7. Jürgen Richter-Gebert
    Pages 149-172
  8. Jürgen Richter-Gebert
    Pages 173-177
  9. Back Matter
    Pages 179-188

About this book

Introduction

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.

Keywords

Dimension Grad np-completeness oriented matroids polytopes semialgebraic sets steinitz's theorem

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0093761
  • Copyright Information Springer-Verlag Berlin Heidelberg 1996
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-62084-6
  • Online ISBN 978-3-540-49640-3
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book