2013/06/17 by Metere, Giuseppe
Mathematics · #Category Theory (math.CT) #FOS: Mathematics #math.CT
paper · pdf · doi:10.48550/arxiv.1306.3773
In order to study the problems of extending an action along a quotient of the acted object and along a quotient of the acting object, we investigate some properties of the fibration of points. In fact, we obtain a characterization of protomodular categories among quasi-pointed regular ones, and, in the semi-abelian case, a characterization of strong protomodular categories. Eventually, we return to the initial questions by stating the results in terms of internal actions.