Higher coverings of racks and quandles. II
DOI10.1007/s10485-021-09651-zOpenAlexW3175937751MaRDI QIDQ2667933
Publication date: 2 March 2022
Published in: Applied Categorical Structures (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.01957
commutator theorycategorical Galois theorycentralizationdouble central extensiontwo-dimensional covering theory of racks and quandles
Covering spaces and low-dimensional topology (57M10) Commutators, derivations, elementary operators, etc. (47B47) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Commutator calculus (20F12) Categories of algebras (08C05) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12) Categorical Galois theory (18E50)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Relative commutator theory in semi-abelian categories
- A description of the fundamental group in terms of commutators and closure operators
- Effective descent morphisms of regular epimorphisms
- Galois theory and commutators
- Higher central extensions and Hopf formulae
- Descent for regular epimorphisms in Barr exact Goursat categories
- Diagram chasing in Mal'cev categories
- Relative commutator theory in varieties of \(\Omega\)-groups
- Pure Galois theory in categories
- Galois groups, abstract commutators, and Hopf formula
- A classifying invariant of knots, the knot quandle
- Mal'cev varieties
- Some remarks on Maltsev and Goursat categories
- Facets of descent. I
- Galois theory and a general notion of central extension
- Facets of descent. II
- Galois theory and a new homotopy double groupoid of a map of spaces
- Galois theory and double central extensions
- Finite preorders and topological descent. I
- The denormalized \(3{\times}3\) lemma
- Trunks and classifying spaces
- Resolutions, higher extensions and the relative Mal'tsev axiom
- Commutator theory for racks and quandles
- Split epimorphisms as a productive tool in universal algebra
- A Galois-theoretic approach to the covering theory of quandles
- Higher central extensions in Mal'tsev categories
- The \(3 \times 3\) lemma in the \(\Sigma\)-Mal'tsev and \(\Sigma\)-protomodular settings: applications to monoids and quandles
- Higher Hopf formulae for homology via Galois theory
- Exact categories and categories of sheaves
- Closure operators in the category of quandles
- A characterization of central extensions in the variety of quandles
- On factorization systems for surjective quandle homomorphisms
- A structural aspect of the category of quandles
- Hopf Formulae for the Higher Homology of a Group
- On some unsolved problems in quantum group theory
- RACKS AND LINKS IN CODIMENSION TWO
- Quandle cohomology and state-sum invariants of knotted curves and surfaces
- GEOMETRIC INTERPRETATIONS OF QUANDLE HOMOLOGY
- How to centralize and normalize quandle extensions
- Quandle coverings and their Galois correspondence
- Differential geometry, Lie groups and symmetric spaces over general base fields and rings
- Semi-abelian categories
This page was built for publication: Higher coverings of racks and quandles. II