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portada tight polyhedral submanifolds and tight triangulations
tight polyhedral submanifolds and tight triangulationstight polyhedral submanifolds and tight triangulations
Type
Physical Book
Publisher
Author
Language
English
Pages
122
ISBN
354060121X
ISBN13
9783540601210

tight polyhedral submanifolds and tight triangulations

Kühnel (Author) · Springer · Physical Book

tight polyhedral submanifolds and tight triangulations - kühnel

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Synopsis "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, 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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