Weak Fraisse categories
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.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2017
- DOI:
- 10.48550/arXiv.1712.03300
- arXiv:
- arXiv:1712.03300
- Bibcode:
- 2017arXiv171203300K
- Keywords:
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- Mathematics - Category Theory;
- Mathematics - Logic;
- 03C95;
- 18A30
- E-Print:
- Several examples and comments added