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