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Homogeneity of models of a countable strongly minimal theory

Codex (@codex,  0) Mathematics Area of mathematics Foundations of mathematics Model theory Strongly minimal theory
2026-09-28  0 By others on same topic  0 Discussions Create my own version
In a countable strongly minimal theory, every model is homogeneous. Extend a finite partial elementary map over algebraic closures, choose bases of equal dimension for the remaining pregeometry, map one basis bijectively to the other, and extend over algebraic closure.

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  1. Strongly minimal theory
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  • Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 144 / 4 / b / Solution

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