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Tight Polyhedral Submanifolds and Tight Triangulations

Tight Polyhedral Submanifolds and Tight Triangulations

Paperback

Series: Lecture Notes in Mathematics, Book 1612

General MathematicsGeometry

ISBN10: 354060121X
ISBN13: 9783540601210
Publisher: Springer Nature
Published: Sep 18 1995
Pages: 128
Weight: 0.44
Height: 0.29 Width: 6.14 Depth: 9.21
Language: English
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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