TY - BOOK AU - Diao,Yuanan AU - Ernst,Claus ED - ProQuest (Firm) TI - Geometric properties and problems of thick knots T2 - Mathematics research developments series AV - QA612.2 .D53 2009 U1 - 514/.2242 22 PY - 2009/// CY - New York PB - Nova Science Publishers KW - Knot theory KW - Electronic books N1 - 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. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries UR - https://ebookcentral.proquest.com/lib/bacm-ebooks/detail.action?docID=3019815 ER -