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Geometric properties and problems of thick knots /

Bibliographic Details
Main Author: Diao, Yuanan
Other Authors: Ernst, Claus
Format: Book
Language:English
Published: New York : Nova Science Publishers, [2009]
Series:Mathematics research developments series.
Subjects:
Knot theory.
Table of Contents:
  • Introduction
  • 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.