1.

Record Nr.

UNINA9910458003603321

Autore

Diao Yuanan

Titolo

Geometric properties and problems of thick knots [[electronic resource] /] / Yuanan Diao and Claus Ernst

Pubbl/distr/stampa

New York, : Nova Science Publishers, c2009

ISBN

1-61324-629-3

Descrizione fisica

1 online resource (91 p.)

Collana

Mathematics research developments series

Altri autori (Persone)

ErnstClaus

Disciplina

514/.2242

Soggetti

Knot theory

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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.