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Stack completions and Morita equivalence for categories in a topos. (English) Zbl 0432.18004


MSC:

18B25 Topoi
18D35 Structured objects in a category (MSC2010)
18F20 Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects)

Citations:

Zbl 0226.14011
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References:

[1] 1 M. Barr & R.P. Are , Molecular toposes , Preprint, Mc Gill Univ. , 1978 .
[2] 2 M. Bunge , Categories of Set-valued functors, Dissertation , Univ. Pennsylvania , 1966 .
[3] 3 M. Bunge , Internal presheaves toposes , Cahiers Topo. et Géo. Diff. XVIII - 3 ( 1977 ), 291 - 330 . Numdam | MR 460417 | Zbl 0365.18017 · Zbl 0365.18017
[4] 4 M. Bunge & R.P. Are , Stacks and equivalence of indexed categories , Cahiers Topo. et Géo. Diff. , this issue. Numdam | Zbl 0432.18003 · Zbl 0432.18003
[5] 5 E. Dubuc , Adjoint triangles , in Reports of the Midwest category Seminar II, Lecture Notes in Math. 61 , Springer ( 1968 ), 69 - 91 . MR 233864 | Zbl 0172.02103 · Zbl 0172.02103
[6] 6 J. Giraud , Cohomologie non abélienne , Springer , Berlin , 1971 . MR 344253 | Zbl 0226.14011 · Zbl 0226.14011
[7] 7 A. Grothendieck & J.L. Verdier , Topos, SG A 4 , Lecture Notes in Math. 269 , Springer ( 1972 ), 299 - 524 . MR 354653 | Zbl 0256.18008 · Zbl 0256.18008
[8] 8 P. Johnstone , Topos Theory , Academic Press , London , 1977 . MR 470019 | Zbl 0368.18001 · Zbl 0368.18001
[9] 9 F.W. Lawvere , Teoria delle categorie sopra un topos di base , Lecture Note s, Univ. of Perugia , 1973 .
[10] 10 F.W. Lawvere , Logic of topoi: inside and outside , Lecture Notes , Univ. de Montréal , 1974 .
[11] 11 R. Pare & D. Schumacher , Abstract families and the Adjoint Functor Theorems , in Indexed categories and their applications , Lecture Notes in Math. 661 , Springer ( 1978 ), 1 - 125 . MR 514193 | Zbl 0389.18002 · Zbl 0389.18002
[12] 12 G. Wraith , Locally equivalent toposes, Preprint , Univ. of Sussex , 1977 . MR 577506 · Zbl 0432.18002
[13] 13 P. Freyd , A belian categories , Harper and Row . Zbl 0121.02103 · Zbl 0121.02103
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