Protomodular aspect of the dual of a topos |
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| Authors: | Dominique Bourn |
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| Institution: | Centre Universitaire de la Mi-voix, Lab. d'Analyse, Géométrie et Algèbre, Université du Littoral, 50 rue Ferdinand Buisson, BP699, 62228 Calais Cedex, France |
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| Abstract: | The structure of the dual of a topos is investigated under its aspect of a Barr exact and protomodular category. In particular the normal monomorphisms in the fibres of the fibration of pointed objects are characterized, and the change of base functors with respect to this same fibration are shown to reflect those normal monomorphisms. |
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| Keywords: | 18B25 18D30 08B10 |
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