Submission date: 8 December 2017

Abstract:

We develop the theory of weak Fraisse categories, where the crucial concept is the weak amalgamation property, discovered relatively recently in model theory. We show that, in a suitable framework, every weak Fraisse category has its unique limit, a special object in a bigger category, characterized by certain variant of injectivity. This significantly extends the known theory of Fraisse limits.

Mathematics Subject Classification: 03C95, 18A30

Keywords and phrases:

Full text arXiv 1712.03300: pdf, ps.