Co-theory of sorted profinite groups for PAC structures.
2019
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.
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
29
References
3
Citations
NaN
KQI