Geodesic
The Existence of Injective Effacements
Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 1-6

Voir la notice de l'article provenant de la source Cambridge University Press

The main result of this paper is little more than a juxtaposition of a remark in [Leroux] (§5, part A), with a theorem of [Banaschewski]. However, the results are individually little known and their juxtaposition not at all. More explicitly, Leroux remarks, in somewhat different form,Let the category X be complete and cocomplete, and have a set of cogenerators. Then a necessary and sufficient condition that there exist infective effacements (with respect to the class of regular monomorphisms) is that X be coregular and satisfy, in addition, condition COEX 4*. 
Barr, Michael. The Existence of Injective Effacements. Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 1-6. doi: 10.4153/CMB-1975-001-5
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[1] 1. Banaschewski, B., Projective covers in categories of topological spaces and topological algebras, "Proceedings of the Topology Conference", Kanpur, 1968, (to appear). Google Scholar

[2] 2. Barr, M., Exact categories, in "Exact Categories and Categories of Sheaves", Lecture Notes in Mathematics 236 (1971), 1-120. Google Scholar

[3] 3. Leroux, P., Sur les structures d'effacement, Math. Z. 121 (1971), 329-340. Google Scholar

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