Tight polyhedral submanifolds and tight triangulations
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Více o knize
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.
Nákup knihy
Tight polyhedral submanifolds and tight triangulations, Wolfgang Kühnel
- Jazyk
- Rok vydání
- 1995
Doručení
Platební metody
2021 2022 2023
Navrhnout úpravu
- Titul
- Tight polyhedral submanifolds and tight triangulations
- Jazyk
- německy
- Autoři
- Wolfgang Kühnel
- Vydavatel
- Springer
- Rok vydání
- 1995
- ISBN10
- 354060121X
- ISBN13
- 9783540601210
- Série
- Lecture notes in mathematics
- Kategorie
- Matematika
- Anotace
- 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.