Overview

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 should also be useful for undergraduate seminars. Particular emphasis is given to the interplay of varios special disciplines, such as geometry, elementary topology, combinatorics and convex polytopes. 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 are also discussed.

Full Product Details

Author:   Wolfgang Kühnel
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1995 ed.
Volume:   1612
Dimensions:   Width: 15.50cm , Height: 0.70cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9783540601210

ISBN 10:   354060121
Pages:   128
Publication Date:   18 September 1995
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

and basic notions.- Tight polyhedral surfaces.- Tightness and k-tightness.- (k?1)-connected 2k-manifolds.- 3-manifolds and twisted sphere bundles.- Connected sums and manifolds with boundary.- Miscellaneous cases and pseudomanifolds.

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