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