Weak Fraïssé categories

Wiesław Kubiś

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.

Keywords: Weak amalgamation property, generic object, Fraïssé limit

2020 MSC: Primary 03C95; Secondary 18A30

Theory and Applications of Categories, Vol. 38, 2022, No. 2, pp 27-63.

Published 2022-01-07.


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