THE QUANDARY OF QUANDLES: A BOREL COMPLETE KNOT INVARIANT

DOI10.1017/S1446788719000399zbMath1482.20039OpenAlexW2982581118MaRDI QIDQ5218733

Sheila K. Miller, Andrew D. Brooke-Taylor

Publication date: 5 March 2020

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788719000399

zbMATH Keywords

quandleknot invariantleft distributiveBorel complete

Mathematics Subject Classification ID

Descriptive set theory (03E15) Loops, quasigroups (20N05) Sets with a single binary operation (groupoids) (20N02) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Related Items (2)

The geometry of point reflections and quasigroups ⋮ Invariant universality for quandles and fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The conjugacy problem in ergodic theory
• Quandles derived from dynamical systems and subsets which are closed under quandle operations
• A classifying invariant of knots, the knot quandle
• The left distributive law and the freeness of an algebra of elementary embeddings
• Braids and self-distributivity
• The geometry of Jordan and Lie structures
• The free one-generated left distributive algebra: basics and a simplified proof of the division algorithm
• An almost full embedding of the category of graphs into the category of abelian groups
• Turbulence, orbit equivalence, and the classification of nuclear \(C^*\)-algebras
• A Borel reductibility theory for classes of countable structures
• Elementary Embeddings and Algebra
• Stability of nilpotent groups of class 2 and prime exponent
• Braid Groups and Left Distributive Operations
• The completeness of the isomorphism relation for countable Boolean algebras
• A non-classification result for wild knots

This page was built for publication: THE QUANDARY OF QUANDLES: A BOREL COMPLETE KNOT INVARIANT