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

Classical Knot Theory

University of South Alabama, Department of Mathematics and Statistics, ILB 325, Mobile, AL 36608, USA
Received: 3 February 2012 / Revised: 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 knots; quandles; fundamental groups; handles; knot colorings; symmetry; surfaces; Klein bottle; projective plane
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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

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