Transfer of generalized amalgamation in simple theories

Fuente: arXiv
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Autor principal: Schilling, Baptiste
Formato: Preprint
Publicado: 2026
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author Schilling, Baptiste
author_facet Schilling, Baptiste
contents We give an abstract framework to transfer generalized amalgamation from a simple theory to another, and we apply it to theories of lovely pairs and of bounded PAC structures. We show in particular that bounded pseudo-algebraically closed fields have generalized amalgamation, regardless of their imperfection degree.
format Preprint
id arxiv_https___arxiv_org_abs_2603_01871
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Transfer of generalized amalgamation in simple theories
Schilling, Baptiste
Logic
We give an abstract framework to transfer generalized amalgamation from a simple theory to another, and we apply it to theories of lovely pairs and of bounded PAC structures. We show in particular that bounded pseudo-algebraically closed fields have generalized amalgamation, regardless of their imperfection degree.
title Transfer of generalized amalgamation in simple theories
topic Logic
url https://arxiv.org/abs/2603.01871