Joyal's CatLab Des Catégories Abéliennes

This entry will be about the 1960 thesis of Pierre Gabriel, published in 1962 as

• Des catégories abéliennes, Bulletin de la Société Mathématique de France, 90 (1962), p. 323-448 (numdam)

The article develops some of the central aspects of the theory of abelian categories? canonized few years earlier by Grothendieck in Tohoku?. A Grothendieck abelian category? is the additive analog of a Gothendieck topos and a Gabriel topology? is the additive analog of a Grothendieck topology?. For other aspects, see the nLab page Des Catégories Abéliennes.