Geometric Properties and Problems of Thick Knots 1st Edition by Yuanan Diao, Claus Ernst 1607410702 978-1607410706

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Product details:

ISBN 10: 1607410702

ISBN 13: 978-1607410706

Author: Yuanan Diao; Claus Ernst 

In this text, the authors first give a brief review of the basic concepts and terminologies such as the thickness of a knot and the rope length of a knot. They then review the main results in this field.

Geometric Properties and Problems of Thick Knots 1st Table of contents:

Some Basic Facts of Knot Theory

Thicknesses of Knots

Ropelengths of Knots

Smooth Knots vs. Knots on the Cubic Lattice

Global Lower Bound on Ropelength of Knots

General Lower Bounds on Ropelength of Knots

General Upper Bounds on Ropelength of Knots

Ropelength Upper Bounds for Special Classes of Knots

The Spectrum of Powers Realizable by Thick Knots

Total Curvature of Thick Knots

The Linking Number of a Thick Link with Two or More Components

Some Open Questions

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Yuanan Diao,Claus Ernst,Geometric,Properties