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Tight Polyhedral Submanifolds and Tight Triangulations

  • Authors
  • Wolfgang Kühnel

Part of the Lecture Notes in Mathematics book series (LNM, volume 1612)

Table of contents

  1. Front Matter
    Pages I-VII
  2. Wolfgang Kühnel
    Pages 1-5
  3. Wolfgang Kühnel
    Pages 6-40
  4. Wolfgang Kühnel
    Pages 41-55
  5. Wolfgang Kühnel
    Pages 56-77
  6. Wolfgang Kühnel
    Pages 78-84
  7. Wolfgang Kühnel
    Pages 85-94
  8. Wolfgang Kühnel
    Pages 95-109
  9. Back Matter
    Pages 110-122

About this book

Introduction

This volume is an introduction and a monograph about tight polyhedra. The treatment of the 2-dimensional case is self- contained and fairly elementary. It would be suitable also for undergraduate seminars. Particular emphasis is given to the interplay of various special disciplines, such as geometry, elementary topology, combinatorics and convex polytopes in a way not found in other books. A typical result relates tight submanifolds to combinatorial properties of their convex hulls. The chapters on higher dimensions generalize the 2-dimensional case using concepts from combinatorics and topology, such as combinatorial Morse theory. A number of open problems is discussed.

Keywords

manifold polytopes topology topology of complexes triangulations

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0096341
  • Copyright Information Springer-Verlag Berlin Heidelberg 1995
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-60121-0
  • Online ISBN 978-3-540-49452-2
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site