Geodesic
Weak Fraïssé categories
Theory and applications of categories, Tome 38 (2022), pp. 27-63
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We develop the theory of weak Fraïssé categories, in which the crucial concept is the weak amalgamation property, discovered relatively recently in model theory. We show that, in a suitable framework, every weak Fraïssé category has its unique generic limit, a special object in a bigger category, characterized by a certain variant of injectivity. This significantly extends the present theory of Fraïssé limits.

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Classification : Primary 03C95, Secondary 18A30
Keywords: Weak amalgamation property, generic object, Fraïssé limit 
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     author = {Wies{\l}aw Kubi\'s},
     title = {Weak {Fra{\"\i}ss\'e} categories},
     journal = {Theory and applications of categories},
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     year = {2022},
     volume = {38},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2022_38_a1/}
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Wiesław Kubiś. Weak Fraïssé categories. Theory and applications of categories, Tome 38 (2022), pp. 27-63. http://geodesic.mathdoc.fr/item/TAC_2022_38_a1/