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Model theoretic dynamics in Galois fashion
dc.abstract.en | We 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.affiliation | Uniwersytet Warszawski |
dc.contributor.author | Hoffmann, Daniel |
dc.date.accessioned | 2024-01-25T12:52:30Z |
dc.date.available | 2024-01-25T12:52:30Z |
dc.date.issued | 2019 |
dc.description.finance | Nie dotyczy |
dc.description.number | 7 |
dc.description.volume | 170 |
dc.identifier.doi | 10.1016/J.APAL.2019.02.002 |
dc.identifier.issn | 0168-0072 |
dc.identifier.uri | https://repozytorium.uw.edu.pl//handle/item/112800 |
dc.language | eng |
dc.pbn.affiliation | mathemathics |
dc.relation.ispartof | Annals of Pure and Applied Logic |
dc.relation.pages | 755-804 |
dc.rights | ClosedAccess |
dc.sciencecloud | nosend |
dc.subject.en | model companions automorphisms group group actions |
dc.title | Model theoretic dynamics in Galois fashion |
dc.type | JournalArticle |
dspace.entity.type | Publication |