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Geometric properties and problems of thick knots [electronic resource] / Yuanan Diao and Claus Ernst.

By: Diao, Yuanan.
Contributor(s): Ernst, Claus | ebrary, Inc.
Material type: materialTypeLabelBookSeries: Mathematics research developments series: Publisher: New York : Nova Science Publishers, c2009Description: 81 p. : ill.Subject(s): Knot theoryGenre/Form: Electronic books.DDC classification: 514/.2242 Online resources: An electronic book accessible through the World Wide Web; click to view
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.
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Item type Current location Collection Call number URL Copy number Status Date due Item holds
E-book E-book IUKL Library
Subscripti http://site.ebrary.com/lib/kliuc/Doc?id=10671380 1 Available
Total holds: 0

Includes bibliographical references and index.

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.

Electronic reproduction. Palo Alto, Calif. : ebrary, 2013. Available via World Wide Web. Access may be limited to ebrary affiliated libraries.

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