Geometric properties and problems of thick knots
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| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
New York :
Nova Science Publishers,
c2009.
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| Schriftenreihe: | Mathematics research developments series.
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| Online-Zugang: | An electronic book accessible through the World Wide Web; click to view |
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Inhaltsangabe:
- 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.