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Cauchy-completion and the associated sheaf. (English) Zbl 0496.18008


MSC:

18F20 Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects)
18A35 Categories admitting limits (complete categories), functors preserving limits, completions
18B99 Special categories
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References:

[1] 1 J. Benabou , Introduction to bicategories , Lecture Notes in Math. 47 , Springer ( 1967 ), 1 - 77 . MR 220789 · Zbl 1375.18001
[2] 2 M.F. Farina & G.C. Meloni , The associated sheaf functor , Rend. Ist. Lomb. Milano (to be published). · Zbl 0513.18005
[3] 3 F.W. Lawere , Metric spaces, generalized logic and closed categories , Rend. Sem. Mat. e Fis. di Milano XLIII ( 1973 ), 135 - 166 . MR 352214 | Zbl 0335.18006 · Zbl 0335.18006
[4] 4 R.F.C. Wal TERS, Sheaves and Cauchy-completeness , J. Pure and Appl. Alg. 24 ( 1982 ), to appear. MR 647583
[5] 5 R.F.C. Walters , Sheaves and Cauchy-complete categories , Cahiers Topo. et Géom. Diff. XXII- 3 ( 1981 ), 283 - 286 . Numdam | MR 649076 | Zbl 0495.18009 · Zbl 0495.18009
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