01871nam a2200361 a 4500 ebr10671380 CaPaEBR m u cr cn||||||||| 090206s2009 nyuad sb 001 0 eng d 2009004981 9781607410706 (softcover) 1607410702 (softcover) 9781613246290 (e-book) CaPaEBR CaPaEBR (OCoLC)758384940 QA612.2 .D53 2009eb 514/.2242 22 Diao, Yuanan. Geometric properties and problems of thick knots [electronic resource] / Yuanan Diao and Claus Ernst. New York : Nova Science Publishers, c2009. 81 p. : ill. Mathematics research developments series 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. Knot theory. Electronic books. local Ernst, Claus. ebrary, Inc. Mathematics research developments series. http://site.ebrary.com/lib/rucke/Doc?id=10671380 An electronic book accessible through the World Wide Web; click to view 62853 62853