02162nam 2200541 a 450 991045800360332120200520144314.01-61324-629-3(CKB)2550000000060197(OCoLC)758384940(CaPaEBR)ebrary10671380(SSID)ssj0000569090(PQKBManifestationID)12262383(PQKBTitleCode)TC0000569090(PQKBWorkID)10536616(PQKB)11496917(MiAaPQ)EBC3019815(Au-PeEL)EBL3019815(CaPaEBR)ebr10671380(EXLCZ)99255000000006019720090206d2009 uy 0engurcn|||||||||txtccrGeometric properties and problems of thick knots[electronic resource] /Yuanan Diao and Claus ErnstNew York Nova Science Publishersc20091 online resource (91 p.) Mathematics research developments seriesBibliographic Level Mode of Issuance: Monograph1-60741-070-2 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.Mathematics research developments series.Knot theoryElectronic books.Knot theory.514/.2242Diao Yuanan862329Ernst Claus862330MiAaPQMiAaPQMiAaPQBOOK9910458003603321Geometric properties and problems of thick knots1924889UNINA