Classical Knot Theory

doi:10.3390/sym4010225

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Symmetry 2012, 4(1), 225-250; doi:10.3390/sym4010225

Article

Classical Knot Theory

J. Scott Carter

University of South Alabama, Department of Mathematics and Statistics, ILB 325, Mobile, AL 36608, USA

Received: 3 February 2012; in revised form: 1 March 2012 / Accepted: 1 March 2012 / Published: 7 March 2012

(This article belongs to the Special Issue Symmetry and Beauty of Knots)

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Abstract: This paper is a very brief introduction to knot theory. It describes knot coloring by quandles, the fundamental group of a knot complement, and handle-decompositions of knot complements.

Keywords: knots; quandles; fundamental groups; handles; knot colorings; symmetry; surfaces; Klein bottle; projective plane

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Cite This Article

MDPI and ACS Style

Carter, J.S. Classical Knot Theory. Symmetry 2012, 4, 225-250.

AMA Style

Carter JS. Classical Knot Theory. Symmetry. 2012; 4(1):225-250.

Chicago/Turabian Style

Carter, J. Scott. 2012. "Classical Knot Theory." Symmetry 4, no. 1: 225-250.

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