Geodesic
Compactly generated homotopy categories
Homology, homotopy, and applications, Tome 9 (2007) no. 1, pp. 257-274.

Voir la notice de l'article provenant de la source International Press of Boston

Over an associative ring we consider a class $\mathbb{X}$ of left modules which is closed under set-indexed coproducts and direct summands. We investigate when the triangulated homotopy category $K(\mathbb{X})$ is compactly generated, and give a number of examples.
DOI : 10.4310/HHA.2007.v9.n1.a11
Classification : 16D20, 16D40, 16D50, 16D90, 16E05
Keywords: compactly generated category, compact object, homotopy category, pure exact sequence, triangulated category 
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Henrik Holm; Peter Jørgensen. Compactly generated homotopy categories. Homology, homotopy, and applications, Tome 9 (2007) no. 1, pp. 257-274. doi : 10.4310/HHA.2007.v9.n1.a11. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2007.v9.n1.a11/

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