Tight polyhedral submanifolds and tight triangulations
Author(s)
Bibliographic Information
Tight polyhedral submanifolds and tight triangulations
(Lecture notes in mathematics, 1612)
Springer-Verlag, c1995
Available at 89 libraries
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Note
Includes bibliographical references (p. [110]-119) and index
Description and Table of Contents
Description
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.
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.
by "Nielsen BookData"