Weak Fraisse categories
Category Theory
2021-08-25 v3 Logic
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 present theory of Fraisse limits.
Keywords
Cite
@article{arxiv.1712.03300,
title = {Weak Fraisse categories},
author = {Wieslaw Kubiś},
journal= {arXiv preprint arXiv:1712.03300},
year = {2021}
}
Comments
Several examples and comments added; new subsection 6.2 (38 pages)