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A Characterization Of The Left Exact Categories Whose Exact Completions Are Toposes (1999)  (Make Corrections)  (4 citations)
Matias Menni



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Abstract: We characterize the categories with finite limits whose exact completions are toposes. We review the examples in the literature and also find new examples and counterexamples. (Update)

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BibTeX entry:   (Update)

M. Menni. A characterization of the left exact categories whose exact completions are toposes. Manuscript, submitted to Proceedings of 1999 meeting in Category theory in Coimbra, November 1999. http://citeseer.ist.psu.edu/menni99characterization.html   More

@misc{ menni99characterization,
  author = "M. Menni",
  title = "A characterization of the left exact categories whose exact completions
    are toposes",
  text = "M. Menni. A characterization of the left exact categories whose exact completions
    are toposes. Manuscript, submitted to Proceedings of 1999 meeting in Category
    theory in Coimbra, November 1999.",
  year = "1999",
  url = "citeseer.ist.psu.edu/menni99characterization.html" }
Citations (may not include all citations):
97   North-Holland (context) - Freyd, Scedrov et al. - 1990
83   Topos theory (context) - Johnstone - 1977
65   Sheaves in Geometry and Logic: a First Introduction to Topos.. (context) - Lane, Moerdijk - 1992
48   Introduction to extensive and distributive categories (context) - Carboni, Lack et al. - 1993
42   volume 236 of Lecture notes in mathematics (context) - Barr, Grillet et al. - 1971
28   volume 51 of Encyclopedia of mathematics and its application.. (context) - Borceux, categorical - 1994
24   Type theory via exact categories (context) - Birkedal, Carboni et al. - 1998
16   Some free constructions in realizability and proof theory (context) - Carboni - 1995
15   Locally cartesian closed exact completions (context) - Carboni, Rosolini - 2000
14   Regular and exact completions (context) - Carboni, Vitale - 1998
12   Mathematical Proceedings of the Cambridge philosophical soci.. (context) - Hyland, Johnstone et al. - 1980
12   The free exact category on a left exact one (context) - Carboni, Magno - 1982
9   Department of Computer Science (context) - Longley, Language et al. - 1995
9   The fibrational formulation of intuitionistic prediate logic.. (context) - Makkai - 1993
7   An abstract notion of realizability for which intuitionistic.. (context) - Lauchli - 1970
6   Annals of pure and applied logic (context) - van Oosten - 1997
6   Exact completions and toposes - Menni - 2000
4   Typed and modified realizability (context) - Lietz
4   Basic category theory (context) - van Oosten - 1995
4   volume 162 of Graduate texts in mathematics (context) - Alperin, Bell et al. - 1995
3   Colimit completions and the e#ective topos (context) - Robinson, Rosolini - 1990
2   Adjoints in and among bicategories (context) - Lawvere
1   A CHARACTERIZATION OF THE LEFT EXACT CATEGORIES WHOSE (context) - Johnstone, Cambridge - 1982

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An Abstract Look At Realizability - De Marchi, Robinson, Rosolini (2000)   (Correct)
Variations on Realizability: Realizing the Propositional Axiom of .. - Hyland (2000)   (Correct)
Exact Completions and Toposes - Menni (2000)   (Correct)

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