Quandles derived from dynamical systems and subsets which are closed under quandle operations

  • Kamada, Seiichi
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Publication date
January 2010
Publisher
Elsevier B.V.

Abstract

AbstractA quandle is a set with a binary operation satisfying certain conditions related to Reidemeister moves in knot theory. First we give an example of a quandle with subsets which are not subquandles but closed under the quandle operation. We introduce a method to produce a quandle from an invertible dynamical system. Our example is generalized to such dynamical quandles

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