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arXiv · 2603.01871

Transfer of generalized amalgamation in simple theories

Baptiste Schilling
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Abstract

We give an abstract framework to transfer generalized amalgamation from a simple theory to another, and we apply it to theories of bounded PAC structures, of fields with operators and of lovely pairs. We show in particular that bounded pseudo-algebraically closed fields have generalized amalgamation, regardless of their imperfection degree.

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Baptiste Schilling. 2026-03-02. Transfer of generalized amalgamation in simple theories. https://arxiv.org/abs/2603.01871

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