Higher Central Extensions in Mal'tsev Categories

Abstract

Higher dimensional central extensions of groups were introduced by G. Janelidze as particular instances of the abstract notion of covering morphism from categorical Galois theory. More recently, the notion has been extended to and studied in arbitrary semi-abelian categories. In this article, we further extend the scope to exact Mal'tsev categories and beyond.

References in corpus (4)

• Higher Hopf formulae for homology via Galois Theory
• Higher central extensions and Hopf formulae
• Resolutions, higher extensions and the relative Mal'tsev axiom
• On satellites in semi-abelian categories: Homology without projectives

Cited by in corpus (2)

• Higher commutator conditions for extensions in Mal'tsev categories
• A symmetric approach to higher coverings in categorical Galois theory