Quasi-equations in locally presentable categories
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 50 (2009) no. 4, article no. 2, 25 p.

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Adamek, Jiri; Hebert, Michel. Quasi-equations in locally presentable categories. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 50 (2009) no. 4, article  no. 2, 25 p. http://geodesic.mathdoc.fr/item/CTGDC_2009__50_4_273_0/

[1] J. Adámek, M. Hébert and L. Sousa, The orthogonal subcategory problem and the small object argument, Appl. Categ. Struct. 17 (2009), 211-246. | MR | Zbl

[2] J. Adámek, W. Lawvere and J. Rosický, On the duality between varieties and algebraic theories, Alg. Universalis 49 (2003), 35-49. | MR | Zbl

[3] J. Adámek, J. Rosický and E. Vitale, Algebraic theories : a categorical introduction to general algebra, manuscript (2008), www.iti.cs.tu-bs.de/~ adamek/book.pdf. | Zbl

[4] J. Adámek and J. Rosický, Locally presentable and accessible categories, Cambridge University Press, 1994. | Zbl

[5] B. Banaschewski and H. Herrlich, Subcategories defined by implications, Houston J. Math 2 (1976), 149-171. | Zbl

[6] F. Borceux and J. Rosický, On von Newmann varieties, Theory Appl. Categ. 13 (2004), 5-26. | MR | EuDML | Zbl

[7] Y. Diers, Catégories localement multiprésentables, Arch. Math. 34 (1980), 344-386. | MR | Zbl

[8] P. Gabriel and F. Ulmer, Local Präsentierbare Kategorien, Lect. Notes in Math. 221, Springer-Verlag, Berlin 1971. | Zbl

[9] P. Gabriel and M. Zisman, Calculus of Fractions and Homotopy Theory, Springer-Verlag, Berlin 1967. | MR | Zbl

[10] W. Hatcher, Les identités dans les categories, C.R. Acad. Sc. Paris Série A t.275 (1972), 495-496. | MR | Zbl

[11] M. Hébert, 𝒦 -purity and orthogonality, Theory Appl. Categ. 12 (2004), 355-371. | MR | EuDML | Zbl

12] M. Hébert, J. Adámek and J. Rosický, More on orthogonality in locally presentable categories, Cahiers Topol. Géom. Differ. Cat. 62 (2001), 51-80. | MR | EuDML | Zbl | mathdoc-id

[13] J. Isbell, Structure of categories, Bull. AMS 72 (1966), 619-655. | MR | Zbl

[14] C. Lair, Catégories modelables et catégories esquissables, Diagrammes 6 (1981). | MR | EuDML | Zbl | mathdoc-id

[15] M. Makkai and R. Paré, Accessible categories : The foundation of categorical model theory, Cont. Math. 104, Amer. Math. Soc., Providence 1989. | MR | Zbl

[16] M. Makkai and A. Pitts, Some remarks on locally finitely presentable categories, Trans. Amer. Math. Soc. 299 (1987), 473-496. | MR | Zbl

[17] J. Macdonald and A. Stone, The tower and regular decomposition, Cahiers Topol. Géom. Diff. 23 (1982), 197-213. | MR | EuDML | Zbl | mathdoc-id