Fibered categories and the foundations of naive category theory

Journal of Symbolic Logic 50 (1):10-37 (1985)
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DOI 10.2307/2273784
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Wellfounded Trees in Categories.Ieke Moerdijk & Erik Palmgren - 2000 - Annals of Pure and Applied Logic 104 (1-3):189-218.
A Small Complete Category.J. M. E. Hyland - 1988 - Annals of Pure and Applied Logic 40 (2):135-165.
On the Semantics of the Universal Quantifier.Djordje Čubrić - 1997 - Annals of Pure and Applied Logic 87 (3):209-239.

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