Geodesic
Cocompletion of restriction categories
Theory and applications of categories, Tome 35 (2020), pp. 809-844 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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Restriction categories were introduced as a way of generalising the notion of partial map category. In this paper, we define a notion of cocompleteness for restriction categories, and describe the free cocompletion of a small restriction category as a suitably defined category of restriction presheaves. We also consider free cocompletions in the case where our restriction category is only locally small.

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Classification : 18B10, 18A35
Keywords: restriction categories, cocompletion, presheaves, locally small 
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     author = {Richard Garner and Daniel Lin},
     title = {Cocompletion of restriction categories},
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     volume = {35},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2020_35_a21/}
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Richard Garner; Daniel Lin. Cocompletion of restriction categories. Theory and applications of categories, Tome 35 (2020), pp. 809-844. http://geodesic.mathdoc.fr/item/TAC_2020_35_a21/