Download E-books Tight Polyhedral Submanifolds and Tight Triangulations (Lecture Notes in Mathematics) PDF

By Wolfgang Kühnel

This quantity is an advent and a monograph approximately tight polyhedra. The therapy of the 2-dimensional case is self- contained and reasonably uncomplicated. it might be appropriate additionally for undergraduate seminars. specific emphasis is given to the interaction of assorted unique disciplines, similar to geometry, straightforward topology, combinatorics and convex polytopes in a manner now not present in different books. a regular end result relates tight submanifolds to combinatorial houses in their convex hulls. The chapters on better dimensions generalize the 2-dimensional case utilizing thoughts from combinatorics and topology, corresponding to combinatorial Morse thought. a couple of open difficulties is mentioned.

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