WorldCat Identities

Lickorish, W. B. Raymond

Overview
Works: 9 works in 26 publications in 2 languages and 596 library holdings
Classifications: QA612.2, 514.224
Publication Timeline
Key
Publications about  W. B. Raymond Lickorish Publications about W. B. Raymond Lickorish
Publications by  W. B. Raymond Lickorish Publications by W. B. Raymond Lickorish
Most widely held works by W. B. Raymond Lickorish
An introduction to knot theory by W. B. Raymond Lickorish ( Book )
13 editions published between 1997 and 2013 in English and Undetermined and held by 567 WorldCat member libraries worldwide
This volume is an introduction to mathematical knot theory - the theory of knots and links of simple closed curves in three-dimensional space. It consists of a selection of topics that graduate students have found to be a successful introduction to the field. Three distinct techniques are employed: geometric topology manoeuvres; combinatorics; and algebraic topology. Each topic is developed until significant results are achieved, and chapters end with exercises and brief accounts of state-of-the-art research. What may reasonably be referred to as knot theory has expanded enormously over the last decade, and while the author describes important discoveries from throughout the twentieth century, the latest discoveries such as quantum invariants of 3-manifolds - as well as generalisations and applications of the Jones polynomial - are also included, presented in an easily understandable style. Thus, this constitutes a comprehensive introduction to the field, presenting modern developments in the context of classical material. Readers are assumed to have knowledge of the basic ideas of the fundamental group and simple homology theory, although explanations throughout the text are plentiful and well done. Written by an internationally known expert in the field, this volume will appeal to graduate students, mathematicians, and physicists with a mathematical background who wish to gain new insights in this area
Polyhedral handlebody theory : notes by Dallas Eugene Webster ( Book )
2 editions published in 1968 in English and held by 15 WorldCat member libraries worldwide
On the equivalent spines problem by Alberto Cavicchioli ( )
4 editions published between 1995 and 1996 in English and held by 5 WorldCat member libraries worldwide
Examples are constructed of compact, connected orientable 3-manifolds, regularly embedded in the 3-sphere $S^3$, with boundary a connected surface of genus $\ge 2$, which are not homeomorphic, although they possess homeomorphic spines. This solves a problem set forth in 1986 by D. Repovš
A polynomial invariant of oriented links by W. B. Raymond Lickorish ( Book )
1 edition published in 1985 in English and held by 2 WorldCat member libraries worldwide
Musubime riron gaisetsu ( Book )
2 editions published in 2000 in Japanese and held by 2 WorldCat member libraries worldwide
A polynomial invariant for unoriented knots and links by Robert D Brandt ( Book )
1 edition published in 1985 in English and held by 2 WorldCat member libraries worldwide
Unknotting information from 4-manifolds by Thomas Daniel Cochran ( Book )
1 edition published in 1985 in English and held by 1 WorldCat member library worldwide
Unknotting information for 4-manifolds by Calif.) Mathematical Sciences Research Institute (Berkeley ( Book )
1 edition published in 1985 in English and held by 1 WorldCat member library worldwide
On the equivalent spines problems by Alberto Cavicchioli ( )
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
Konstruirani so primeri kompaktnih, povezanih orientabilnih 3-mnogoterosti, regularno vloženih v 3-sfero $S^3$, z robom, ki je povezana ploskev roda $\ge 2$, ki med seboj niso homeomorfne, čeprav dopuščajo isto hrbtenico. To je rešitev problema, ki ga je l. 1986 postavil D. Repovš
 
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.70 (from 0.00 for On the equ ... to 1.00 for Unknotting ...)
Associated Subjects
Alternative Names
リコリッシュ, W. B. R
Languages
English (23)
Japanese (2)
Covers