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Model theoretic dynamics in Galois fashion

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dc.abstract.enWe achieve several results. First, we develop a variant of the theory of absolute Galois groups in the context of many sorted structures. Second, we provide a method for coding absolute Galois groups of structures, so they can be interpreted in some monster model with an additional predicate. Third, we prove a "weak independence theorem" for PAC substructures of an ambient structure with nfcp and property B(3). Fourth, we describe Kim-dividing in these PAC substructures and show several results related to NSOP. Fifth, we characterize the algebraic closure in PAC structures.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorHoffmann, Daniel
dc.date.accessioned2024-01-25T12:52:30Z
dc.date.available2024-01-25T12:52:30Z
dc.date.issued2019
dc.description.financeNie dotyczy
dc.description.number7
dc.description.volume170
dc.identifier.doi10.1016/J.APAL.2019.02.002
dc.identifier.issn0168-0072
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/112800
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofAnnals of Pure and Applied Logic
dc.relation.pages755-804
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.enmodel companions automorphisms group group actions
dc.titleModel theoretic dynamics in Galois fashion
dc.typeJournalArticle
dspace.entity.typePublication