To every oriented link
L,
we associate a topologically defined biquandle
ˆBL, which we call the
topological biquandle of
L.
The construction of
ˆBL
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