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Tight Polyhedral Submanifolds and Tight Triangulations by Wolfgang Kühnel

Tight Polyhedral Submanifolds and Tight Triangulations

by Wolfgang Kühnel
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Book cover type: Paperback
  • ISBN13: 9783540601210
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 128
  • Original Price: GBP 24.99
  • Language: English
  • Edition: 1995
  • Item Weight: 200 grams
  • BISAC Subject(s): Geometry / Differential

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.

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