AbstractThe classical 3×3 lemma and snake lemma, valid in any abelian category, still hold in any quasi-pointed (the map 0→1 is a mono), regular, and protomodular category. Some applications are given, in this abstract context, concerning the denormalization of kernel maps and the normalization of internals groupoids (i.e., associated crossed modules)
We prove a 3 × 3 lemma for regular Goursat categories. The classical “3 × 3 lemma ” in abelian categ...
AbstractWe present a new approach to pointed protomodular categories with binary coproducts, via so-...
The basic theme of this talk is the extrinsic description of objects by means of morphisms. One way ...
AbstractThe classical 3×3 lemma and snake lemma, valid in any abelian category, still hold in any qu...
We investigate what is remaining of the 3 7 3 lemma and of the denormalized 3 7 3 lemma, valid in ...
A regular category is said to be normal when it is pointed and every regular epimorphism in it is a ...
AbstractIt is well known that diagram lemmas for abelian groups (and more generally in abelian categ...
A regular category is said to be normal when it is pointed and every regular epimorphism in it is a ...
In the context of protomodular categories, several additional conditions have been considered in ord...
AbstractThe structure of the dual of a topos is investigated under its aspect of a Barr exact and pr...
We investigate some properties of the fibration of points. We obtain a characterization of protomod...
We give a new sufficient condition for the normal extensions in an admissible Galois structure to be...
AbstractAs any category Gp(E) of internal groups in a given category E, the category Gp(Top) of topo...
We establish versions of the Snake Lemma from homological algebra in the context of topological grou...
AbstractWe clarify the relationship between basic constructions of semi-abelian category theory and ...
We prove a 3 × 3 lemma for regular Goursat categories. The classical “3 × 3 lemma ” in abelian categ...
AbstractWe present a new approach to pointed protomodular categories with binary coproducts, via so-...
The basic theme of this talk is the extrinsic description of objects by means of morphisms. One way ...
AbstractThe classical 3×3 lemma and snake lemma, valid in any abelian category, still hold in any qu...
We investigate what is remaining of the 3 7 3 lemma and of the denormalized 3 7 3 lemma, valid in ...
A regular category is said to be normal when it is pointed and every regular epimorphism in it is a ...
AbstractIt is well known that diagram lemmas for abelian groups (and more generally in abelian categ...
A regular category is said to be normal when it is pointed and every regular epimorphism in it is a ...
In the context of protomodular categories, several additional conditions have been considered in ord...
AbstractThe structure of the dual of a topos is investigated under its aspect of a Barr exact and pr...
We investigate some properties of the fibration of points. We obtain a characterization of protomod...
We give a new sufficient condition for the normal extensions in an admissible Galois structure to be...
AbstractAs any category Gp(E) of internal groups in a given category E, the category Gp(Top) of topo...
We establish versions of the Snake Lemma from homological algebra in the context of topological grou...
AbstractWe clarify the relationship between basic constructions of semi-abelian category theory and ...
We prove a 3 × 3 lemma for regular Goursat categories. The classical “3 × 3 lemma ” in abelian categ...
AbstractWe present a new approach to pointed protomodular categories with binary coproducts, via so-...
The basic theme of this talk is the extrinsic description of objects by means of morphisms. One way ...
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