Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

AuthorKรผhnel, Wolfgang. author
TitleTight Polyhedral Submanifolds and Tight Triangulations [electronic resource] / by Wolfgang Kรผhnel
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1995
Connect tohttp://dx.doi.org/10.1007/BFb0096341
Descript VIII, 128 p. online resource

SUMMARY

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


CONTENT

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


Mathematics Differential geometry Manifolds (Mathematics) Complex manifolds Mathematics Differential Geometry Manifolds and Cell Complexes (incl. Diff.Topology)



Location



Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network

  line

facebook   instragram