Please note: In order to keep Hive up to date and provide users with the best features, we are no longer able to fully support Internet Explorer. The site is still available to you, however some sections of the site may appear broken. We would encourage you to move to a more modern browser like Firefox, Edge or Chrome in order to experience the site fully.

Tight Polyhedral Submanifolds and Tight Triangulations, PDF eBook

Tight Polyhedral Submanifolds and Tight Triangulations PDF

Part of the Lecture Notes in Mathematics series

PDF

Please note: eBooks can only be purchased with a UK issued credit card and all our eBooks (ePub and PDF) are DRM protected.

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.

Information

Information

Also in the Lecture Notes in Mathematics series  |  View all