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Weak Fraisse categories
- Publication Year :
- 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 present theory of Fraisse limits.<br />Comment: Several examples and comments added; new subsection 6.2 (38 pages)
- Subjects :
- Mathematics - Category Theory
Mathematics - Logic
03C95, 18A30
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1712.03300
- Document Type :
- Working Paper