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Tight Polyhedral Submanifolds and Tight Triangulations : Lecture Notes in Mathematics - Wolfgang Kuhnel

Tight Polyhedral Submanifolds and Tight Triangulations

Lecture Notes in Mathematics

Paperback Published: 18th September 1995
ISBN: 9783540601210
Number Of Pages: 128

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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.

Introduction and basic notionsp. 1
Tight polyhedral surfacesp. 6
Tightness and k-tightnessp. 41
(k - 1)-connected 2k-manifoldsp. 56
3-manifolds and twisted sphere bundlesp. 78
Connected sums and manifolds with boundaryp. 85
Miscellaneous cases and pseudomanifoldsp. 95
Referencesp. 110
Indexp. 120
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540601210
ISBN-10: 354060121X
Series: Lecture Notes in Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 128
Published: 18th September 1995
Publisher: SPRINGER VERLAG GMBH
Country of Publication: US
Dimensions (cm): 23.39 x 15.6  x 0.74
Weight (kg): 0.2

Earn 114 Qantas Points
on this Book