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This article is available for purchase or by subscription. See below.
Abstract
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To every oriented link
,
we associate a topologically defined biquandle
, which we call the
topological biquandle of
.
The construction of
is similar to the topological description of the fundamental quandle given by
Matveev. We find a presentation of the topological biquandle and explain how it is
related to the fundamental biquandle of the link.
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Keywords
biquandle, quandle, fundamental biquandle, topological
biquandle
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Mathematical Subject Classification 2010
Primary: 57M25
Secondary: 57M05
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Milestones
Received: 9 April 2018
Revised: 18 March 2019
Accepted: 20 March 2019
Published: 27 November 2019
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