Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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The Intrinsic Topology on a Quandle

  • Kim, Byeorhi (School of Mathematics, Kyungpook National University) ;
  • Bae, Yongju (Department of Mathematics, Kyungpook National University) ;
  • Kim, Eun Sup (Department of Mathematics, Kyungpook National University)
  • Received : 2017.07.05
  • Accepted : 2017.12.05
  • Published : 2017.12.23
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Abstract

Let Inn(Q) denote the inner automorphism group on a quandle Q. For a subset M of Q, let c(M) denote the orbit of M under the Inn(Q)-action on Q. Then c satisfies the axioms of the closure operator. In this paper, we study the topological space Q corresponding to the topology obtained from the closure operator c.

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References

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