Tight Polyhedral Submanifolds and Tight Triangulations [electronic resource] / by Wolfgang Kühnel.
Material type: TextSeries: Lecture Notes in Mathematics ; 1612Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1995Description: VIII, 128 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540494522Subject(s): Mathematics | Global differential geometry | Cell aggregation -- Mathematics | Mathematics | Differential Geometry | Manifolds and Cell Complexes (incl. Diff.Topology)Additional physical formats: Printed edition:: No titleDDC classification: 516.36 LOC classification: QA641-670Online resources: Click here to access onlineCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
---|---|---|---|---|---|---|---|
IMSc Library | IMSc Library | Link to resource | Available | EBK1750 |
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.
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.
There are no comments on this title.