Strong regular and dense generators

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1. 1 J. Adámek, H. Herrlich and J. Reiterman, Cocompleteness almost implies completeness, Proc. Conf. Categorical Topology Prague1988. (World Scientific, Singapore1989) pp 246-256. MR1047905
2. 2 J. Adámek, H. Herrlich and W. Tholen, Monadic decompositions, J. Pure Appl. Algebra59 (1989) 111-123. Zbl0675.18001MR1007916
3. 3 J. Adámek and W. Tholen, Total categories with generators, J. of Algebra133 (1990) 63-78. Zbl0703.18001MR1063381
4. 4 H. Artin, A. Grothendieck and J.L. Verdier, Théorie des Topos et Cohomologie Etale des Schémes, Lecture Notes in Math. (Springer-Verlag, Berlin1972) 269. Zbl0234.00007MR463174
5. 5 R. Börger, Multicoreflective subcategories and coprime objects, Topology Appl.33 (1989) 127-142. Zbl0688.18001MR1020275
6. 6 R. Börger and M. Rajagopalan, When do all ring homomorphisms depend on only one coordinate?, Arch. Math45 (1985) 223-228. Zbl0558.03024MR807654
7. 7 R. Börger and W. Tholen, Total categories and solid functors, Canad. J. Math42 (1990) 213-229. Zbl0742.18001MR1051726
8. 8 R. Börger and W. Tholen, Totality of colimit-closures, Comm. Math. Univ. Carolinae, (submitted). Zbl0760.18002
9. 9 B. Day and R. Street, Categories in which all strong generators are dense, J. Pure Appl. Algebra43 (1986) 235-242. Zbl0612.18004MR868984
10. 10 E.J. Dubuc, Adjoint triangles, Lecture Notes in Math. (Springer-Verlag, Berlin1968) 61, 69-91. Zbl0172.02103MR233864
11. 11 R. Dyckhoff and W. Tholen, Exponentiable morphisms, partial products and pullback complements, J. Pure Appl. Algebra49 (1987) 103-116. Zbl0659.18003MR920516
12. 12 P. Gabriel and F. Ulmer, Lokal präsentierbare Kategorien, Lecture Notes in Math. (Springer-Verlag, Berlin1971) 221. Zbl0225.18004MR327863
13. 13 H. Herrlich, Topologische Reflexionen und Coreflexionen, Lecture Notes in Math. (Springer-Verlag, Belin1968) 78. Zbl0182.25302MR256332
14. 14 R.E. Hoffmann.A categorical concept of connectedness, Tagungsberichte Oberwolfach1974. 
15. 15 S.A. Huq, An interpolation theorem for adjoint functors, Proc. Amer. Math Soc.25 (1970) 880-883. Zbl0204.33601MR260824
16. 16 G.B. Im and G.M. Kelly, Some remarks on conservative functors with left adjoint, J. Korean Math Soc.23 (1986) 19-33. Zbl0602.18003MR843247
17. 17 G.B. Im and G.M. Kelly, Adjoint-triangle theorems for conservative functors, Bull. Austral. Math. Soc.36 (1987) 133-136. Zbl0603.18001MR897429
18. 18 G.M. Kelly, Monomorphisms, epimorphisms, and pull-backs, J. Austral. Math. Soc.A9 (1969) 142-142. Zbl0169.32604MR240161
19. 19 G.M. Kelly, TheBasic Concepts of Enriched Category Theory, Cambridge University Press, Cambridge1982. Zbl0478.18005MR651714
20. 20 G.M. Kelly, A survey on totality for enriched and ordinary categories, Cahiers Topo. Géom. Différentielle Catégoriques27 (1986) 109-132. Zbl0593.18007MR850527
21. 21 J. MacDonold and A. Stone, Essentially monadic adjunctions, Lecture Notes in Math. (Springer-Verlag, Berlin1982) 962, 167-174. Zbl0498.18003MR682954
22. 22 B. Pareigis, Categories and Functors, Academic Press, New York-London1970 Zbl0211.32402MR265428
23. 23 J. Rosický, V. Trnková, J. Adámek, Unexpected properties of locally presentable categories, Algebra Universalis27 (1990) 153-170. Zbl0701.18003MR1037859
24. 24 H. Schubert, Categories, Springer-Verlag, Berlin1972. Zbl0253.18002MR349793
25. 25 R. Street, The family approach to total cocompleteness and toposes, Trans. Amer. Math. Soc.284 (1984) 355-369. Zbl0512.18001MR742429
26. 26 W. Tholen, Adjungierte Dreiecke, Colimites und Kan-Erweiterungen, Math. Ann.217 (1975) 121-129. Zbl0325.18002MR393172
27. 27 W. Tholen, Amalgamation in Categories, Algebra Universalis14 (1982) 391-397. Zbl0494.18002MR654405

1. Reinhard Börger, Walter Tholen, Totality of colimit closures
2. Reinhard Börger, Making factorizations compositive