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.
General
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