#### Vol. 302, No. 2, 2019

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The topological biquandle of a link

### Eva Horvat

Vol. 302 (2019), No. 2, 627–644
##### Abstract

To every oriented link $L$, we associate a topologically defined biquandle ${\stackrel{̂}{\mathsc{ℬ}}}_{L}$, which we call the topological biquandle of $L$. The construction of ${\stackrel{̂}{\mathsc{ℬ}}}_{L}$ 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.

##### Keywords
biquandle, quandle, fundamental biquandle, topological biquandle
Primary: 57M25
Secondary: 57M05