Geometric properties and problems of thick knots

by Diao, Yuanan.
Additional authors: Ernst, Claus. | ebrary, Inc.
Series: Mathematics research developments series Published by : Nova Science Publishers, (New York :) Physical details: 81 p. : ill. Year: 2009
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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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