Higher Coverings of Racks and Quandles—Part II

This article is the second part of a series three articles, in which we develop higher covering theory racks and quandles. project rooted M. Eisermann’s work on quandle coverings, categorical perspective brought to subject by V. Even, who characterizes coverings as those surjections are categorically central, relatively trivial We extend this applying techniques from Galois theory, sense G. Janelidze, particular identify meaningful higher-dimensional centrality conditions defining our In (Part II), show that applies inclusion category into surjective morphisms or characterise induced Galois-theoretic concepts covering, normal two-dimensional context. The latter described via definition study double also called algebraically central extensions (and quandles). define suitable well-behaved commutator captures zero-, one- centralization keep track links with corresponding groups.