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- catalog abstract "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.".
- catalog contributor b8696947.
- catalog created "1995.".
- catalog date "1995".
- catalog date "1995.".
- catalog dateCopyrighted "1995.".
- catalog description "1. Introduction and basic notions -- 2. Tight polyhedral surfaces -- 3. Tightness and k-tightness -- 4. (k -- 1)-connected 2k-manifolds -- 5. 3-manifolds and twisted sphere bundles -- 6. Connected sums and manifolds with boundary -- 7. Miscellaneous cases and pseudomanifolds.".
- catalog description "Includes bibliographical references (p. - ) and index.".
- catalog 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.".
- catalog extent "122 p. :".
- catalog hasFormat "Tight polyhedral submanifolds and tight triangulations.".
- catalog identifier "354060121X (softcover)".
- catalog isFormatOf "Tight polyhedral submanifolds and tight triangulations.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1612.".
- catalog isPartOf "Lecture notes in mathematics ; 1612".
- catalog issued "1995".
- catalog issued "1995.".
- catalog language "eng".
- catalog publisher "New York : Springer-Verlag,".
- catalog relation "Tight polyhedral submanifolds and tight triangulations.".
- catalog subject "510 s 516.3/62 20".
- catalog subject "Cell aggregation Mathematics.".
- catalog subject "Global differential geometry.".
- catalog subject "Immersions (Mathematics)".
- catalog subject "Mathematics.".
- catalog subject "Polytopes.".
- catalog subject "QA3 .L28 no. 1612 QA670".
- catalog subject "Triangulating manifolds.".
- catalog tableOfContents "1. Introduction and basic notions -- 2. Tight polyhedral surfaces -- 3. Tightness and k-tightness -- 4. (k -- 1)-connected 2k-manifolds -- 5. 3-manifolds and twisted sphere bundles -- 6. Connected sums and manifolds with boundary -- 7. Miscellaneous cases and pseudomanifolds.".
- catalog title "Tight polyhedral submanifolds and tight triangulations / Wolfgang Kühnel.".
- catalog type "text".