Tight polyhedral submanifolds and tight triangulations /
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...
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| Format: | eBook |
| Language: | English |
| Published: |
New York :
Springer-Verlag,
1995.
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1612. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (122 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (p. (110-115) and index. |
| ISBN: | 9783540494522 (electronic bk.) 3540494529 (electronic bk.) |
| ISSN: | 0075-8434 ; |