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100   $a20090206d2009      uy         0
101 0 $aeng
135   $aurcn|||||||||
181   $ctxt
182   $cc
183   $acr
200 10$aGeometric properties and problems of thick knots /$fYuanan Diao and Claus Ernst
205   $a1st ed.
210   $aNew York $cNova Science Publishers$dc2009
215   $a1 online resource (91 p.) 
225 1 $aMathematics research developments series
300   $aBibliographic Level Mode of Issuance: Monograph
311 08$a1-60741-070-2 
320   $aIncludes bibliographical references and index.
327   $aIntroduction -- 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.
330   $aIn this text, the authors first give a brief review of the basic concepts and terminologies such as the thickness of a knot and the rope length of a knot. They then review the main results in this field.
410  0$aMathematics research developments series.
606   $aKnot theory
615  0$aKnot theory.
676   $a514/.2242
700   $aDiao$b Yuanan$01871267
701   $aErnst$b Claus$01871268
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910970449603321
996   $aGeometric properties and problems of thick knots$94480012
997   $aUNINA