Geodesic
Locally cartesian closed categories without chosen constructions
Theory and applications of categories, Tome 20 (2008), pp. 5-17
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We show how to formulate the notion of locally cartesian closed category without chosen pullbacks, by the use of Makkai's theory of anafunctors.

Classification : 18A35, 18A40
Keywords: anafunctor, axiom of choice, adjoint 
@article{TAC_2008_20_a0,
     author = {Erik Palmgren},
     title = {Locally cartesian closed categories without chosen constructions},
     journal = {Theory and applications of categories},
     pages = {5--17},
     year = {2008},
     volume = {20},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2008_20_a0/}
}
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Erik Palmgren. Locally cartesian closed categories without chosen constructions. Theory and applications of categories, Tome 20 (2008), pp. 5-17. http://geodesic.mathdoc.fr/item/TAC_2008_20_a0/