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Categories of continuous functors. I. (English) Zbl 0257.18005

J. Pure Appl. Algebra 2, 169-191 (1972); erratum ibid. 4, 121 (1974).

MSC:

18A25 Functor categories, comma categories
18A05 Definitions and generalizations in theory of categories
18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.)
18D05 Double categories, \(2\)-categories, bicategories and generalizations (MSC2010)
Full Text: DOI

References:

[1] Barr, M., Coequalizers and free triples, Math. Z., 116, 307-322 (1970) · Zbl 0194.01701
[2] M. Barr, Factorizations, generators and rank, privately circulated manuscript.; M. Barr, Factorizations, generators and rank, privately circulated manuscript.
[3] Day, B. J., A reflection theorem for closed categories, J. Pure Appl. Algebra, 2, 1-11 (1972) · Zbl 0236.18004
[4] Day, B. J.; Kelly, G. M., Enriched functor categories, (Lecture Notes in Math., 106 (1969), Springer: Springer Berlin) · Zbl 0214.03202
[5] Freyd, P. J., Abelian categories (1964), Harper and Row: Harper and Row New York · Zbl 0121.02103
[6] Gabriel, P.; Ulmer, F., Lecture Notes in Math., 221 (1971), Springer: Springer Berlin · Zbl 0225.18004
[7] Isbell, J., Subobjects, adequacy, completeness and categories of algebras, Rozprawy Mat., 36, 1-32 (1964) · Zbl 0133.26703
[8] Kelly, G. M., Monomorphisms, epimorphisms, and pull-backs, J. Austr. Math. Soc., 9, 124-142 (1969) · Zbl 0169.32604
[9] Kennison, J. F., On limit-preserving functors, Illinois J. Math., 12, 616-619 (1968) · Zbl 0169.02301
[10] Lambek, J., Completions of categories, (Lecture Notes in Math., 24 (1966), Springer: Springer Berlin), 1-70 · Zbl 0143.02802
[11] Ringel, C. M., Diagonalisierungspaare I, Math. Z., 117, 249-266 (1970) · Zbl 0206.30002
[12] Schubert, H., Kategorien III (1971), Springer: Springer Berlin
[13] Spanier, E., Quasi-topologies, Duke Math. J., 30, 1-14 (1963) · Zbl 0114.38702
[14] Ulmer, F., Locally α-presentable and locally α-generated categories, (Rept. Midwest Category Seminar 5. Rept. Midwest Category Seminar 5, Lecture Notes in Math., 195 (1971), Springer: Springer Berlin) · Zbl 0225.18005
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