Current browse context:
math.GT
Change to browse by:
References & Citations
Mathematics > Geometric Topology
Title: Residual finiteness of fundamental $n$-quandles of links
(Submitted on 26 Mar 2024)
Abstract: In this paper, we investigate residual finiteness and subquandle separability of quandles. The existence of these finiteness properties implies the solvability of the word problem and the generalised word problem for quandles. We prove that the fundamental $n$-quandle of any link in the 3-sphere is residually finite for each $n \ge 2$. This supplements the recent result on residual finiteness of link quandles and the classification of links whose fundamental $n$-quandles are finite for some $n$. We also establish several general results on these finiteness properties and give many families of quandles admitting them.
Link back to: arXiv, form interface, contact.