WEAK SATURATION AND WEAK AMALGAMATION PROPERTY
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Abstract We study the two model-theoretic concepts of weak saturation and weak amalgamation property in the context of accessible categories. We relate these two concepts providing sufficient conditions for existence and uniqueness of weakly saturated objects of an accessible category ${\cal K}$ . We discuss the implications of this fact in classical model theory.
- Czech Academy of Sciences Czech Republic
- Masaryk University Czech Republic
- Academy of Sciences Library Czech Republic
Properties of classes of models, Logic, accessible categories, weak amalgamation property, categorical model theory, Fraïssé classes, FOS: Mathematics, Fraisse classes, Category Theory, Category Theory (math.CT), Logic (math.LO), Accessible and locally presentable categories, weak saturation
Properties of classes of models, Logic, accessible categories, weak amalgamation property, categorical model theory, Fraïssé classes, FOS: Mathematics, Fraisse classes, Category Theory, Category Theory (math.CT), Logic (math.LO), Accessible and locally presentable categories, weak saturation
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