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Quotient systems in Grothendieck topoi. (English) Zbl 0521.18005

MSC:
18B25 Topoi
18F10 Grothendieck topologies and Grothendieck topoi
18F20 Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects)
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References:
[1] 1 R. Diaconescu , Grothendieck toposes have boolean points - a new proof , Communications Alg. 4 ( 1976 ), 723 - 729 . MR 414658 | Zbl 0358.18011 · Zbl 0358.18011 · doi:10.1080/00927877608822133
[2] 2 P. Johnstone , Topos Theory , L.M. S. Math. Monog. 10 , Academic Press 1977 . MR 470019 | Zbl 0368.18001 · Zbl 0368.18001
[3] 3 P. Johnstone , Factorization and pullback theorems for localic geometric morphisms , Sém. Math. Pure Rapport 79 , Univ. Catholique Louvain ( 1979 ).
[4] 4 P. Johnstone , Factorization theorems for geometric morphisms I , Cahiers Top. et Géom. Diff. XXII- 1 ( 1981 ), 3 - 17 . Numdam | MR 609154 | Zbl 0454.18007 · Zbl 0454.18007 · numdam:CTGDC_1981__22_1_3_0 · eudml:91250
[5] 5 P Johnstone , Quotients of decidable objects in a topos , Preprint. MR 698346 · Zbl 0515.18002
[6] 6 P. Johnstone , Open maps of toposes , Man. Math. 31 ( 1980 ), 217 - 247 . MR 576498 | Zbl 0433.18002 · Zbl 0433.18002 · doi:10.1007/BF01303275 · eudml:154704
[7] 7 F.W. Lawvere , Lectures (at SUNY , Buffalo ) 1975 -77, Unpublished.
[8] 8 K. Rosenthal , Etendue s and categories with monic maps , J. Pure & Appl. Algebra 22 ( 1981 ), 19 3 - 212 . MR 624572 | Zbl 0473.18004 · Zbl 0473.18004 · doi:10.1016/0022-4049(81)90059-1
[9] 9 M. Tierney & A. Joyal , Open maps and descent , To appear.
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