The intrinsic topology on a quandle

Byeorhi Kim; Yongju Bae; Eun Sup Kim

doi:10.5666/KMJ.2017.57.4.711

The intrinsic topology on a quandle

Byeorhi Kim, Yongju Bae, Eun Sup Kim

Kyungpook National University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	711-719
Number of pages	9
Journal	Kyungpook Mathematical Journal
Volume	57
Issue number	4
DOIs	https://doi.org/10.5666/KMJ.2017.57.4.711
State	Published - 2017

Keywords

Intrinsic topology
Product quandle
Quandle
Subquandle

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10.5666/KMJ.2017.57.4.711

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title = "The intrinsic topology on a quandle",

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.",

keywords = "Intrinsic topology, Product quandle, Quandle, Subquandle",

author = "Byeorhi Kim and Yongju Bae and Kim, {Eun Sup}",

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AU - Kim, Byeorhi

AU - Bae, Yongju

AU - Kim, Eun Sup

N1 - Publisher Copyright: © Kyungpook Mathematical Journal.

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

KW - Intrinsic topology

KW - Product quandle

KW - Quandle

KW - Subquandle

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DO - 10.5666/KMJ.2017.57.4.711

M3 - Article

AN - SCOPUS:85038223756

SN - 1225-6951

VL - 57

SP - 711

EP - 719

JO - Kyungpook Mathematical Journal

JF - Kyungpook Mathematical Journal

IS - 4

ER -

The intrinsic topology on a quandle

Abstract

Keywords

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