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Geometric properties and problems of thick knots / Yuanan Diao and Claus Ernst.
- Format:
- Book
- Author/Creator:
- Diao, Yuanan.
- Series:
- Mathematics research developments series.
- Mathematics research developments series
- Language:
- English
- Subjects (All):
- Knot theory.
- Physical Description:
- 1 online resource (91 p.)
- Edition:
- 1st ed.
- Place of Publication:
- New York : Nova Science Publishers, c2009.
- Language Note:
- English
- Summary:
- 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.
- 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.
- Notes:
- Bibliographic Level Mode of Issuance: Monograph
- Includes bibliographical references and index.
- ISBN:
- 1-61324-629-3
- OCLC:
- 758384940
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