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Quandles : an introduction to the algebra of knots / Mohamed Elhamdadi;

By: Elhamdadi, MohamedContributor(s): Elhamdadi, Mohamed | Nelson, SamMaterial type: Text

TextSeries: Student mathematical library, v. 74Publication details: Providence, Rhode Island : American Mathematical Society, 2015Description: ix, 245 pages : illustrations ; 22 cmISBN: 9781470454869Subject(s): Mathematics | Topology | Knot theory | Low-dimensional topology | Manifolds and cell complexes -- Low-dimensional topology -- Knots and links | Group theory and generalizations -- Other generalizations of groups -- Loops, quasigroups | Manifolds and cell complexes -- Low-dimensional topology -- Fundamental group, presentations, free differential calculus | Group theory and generalizations -- Other generalizations of groups -- Sets with a single binary operation (groupoids) | Algebraic topology -- Homology and cohomology theories -- Other homology theories | Algebraic topology -- Classical topics -- Degree, winding number | Manifolds and cell complexes -- Low-dimensional topology -- Invariants of knots and 3-manifoldsDDC classification: 514.2242 ELH

Contents:

Knots and links -- Algebraic structures -- Quandles -- Quandles and groups -- Generalizations of quandles -- Enhancements -- Generalized knots and links.

Summary: Quandles and their kin--kei racks, biquandles, and biracks--are algebraic structures whose axioms encode the movement of knots in space, say Elhamdadi and Nelson, in the same way that groups encode symmetry and orthogonal transformations encode rigid motion. They introduce quandle theory to readers who are comfortable with linear algebra and basic set theory but may have no previous exposure to abstract algebra, knot theory, or topology. They cover knots and links, quandles, quandles and groups, generalizations of quandles, enhancements, and generalized knots and links

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
Mathematics Departmental Library	SNU LIBRARY	514.2242 ELH (Browse shelf(Opens below))	Available		M041

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Previous	514.22 PRA Elements of Combinatorial and Differential Topology	514.224 SES Collected Papers	514.224 SES Collected Papers	514.2242 ELH Quandles	514.23 VEN Proceedings of the International Conference on Cohomology of Arithmetic Groups, L-Functions, and Automorphic Forms, Mumbai 1998	514.3 BOR Introduction to topology	514.3 MUN Topology; a first course	Next

Knots and links --
Algebraic structures --
Quandles --
Quandles and groups --
Generalizations of quandles --
Enhancements --
Generalized knots and links.

Quandles and their kin--kei racks, biquandles, and biracks--are algebraic structures whose axioms encode the movement of knots in space, say Elhamdadi and Nelson, in the same way that groups encode symmetry and orthogonal transformations encode rigid motion. They introduce quandle theory to readers who are comfortable with linear algebra and basic set theory but may have no previous exposure to abstract algebra, knot theory, or topology. They cover knots and links, quandles, quandles and groups, generalizations of quandles, enhancements, and generalized knots and links

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