2 papers
math.LO2017
Invariant universality for quandles and fields
Andrew D. Brooke-Taylor, Filippo Calderoni, Sheila K. Miller
We show that the embeddability relations for countable quandles and for countable fields of any given characteristic other than 2 are maximally complex in a strong sense: they are…
math.LO2016
The quandary of quandles: The Borel completeness of a knot invariant
Andrew D. Brooke-Taylor, Sheila K. Miller
The isomorphism type of the knot quandle introduced by Joyce is a complete invariant of tame knots. Whether two quandles are isomorphic is in practice difficult to determine; we sh…