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Model theory is the branch of mathematical logic which deals with the connection between a formal language and its interpretations, or models.

4 votes
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local character of Tarski-Vaught for tuples in excellent classes

In the book Baldwin, Categoricity in Abstract Elementary Classes defines (Def.20.1,p.151) a notion of Tarski-Vaught extensions for tuples that generalises both independence and usual Tarski-Vaught ext …
4 votes
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222 views

axiomatizing the abelian part of the topological fundamental groupoid functor on algebraic v...

let Vv be the category of complex algebraic varieties defined over $\bar Q\subset C$, and let $\pi_1^{top}:Vv\longrightarrow Groupoids$ sending a variety V into its (strict) fundamental groupoid $s,t …
3 votes

Elementary Equivalence =? Homotopy Equivalence

The dream behind this question is that perhaps one could think of an elementary substructure as a homotopical retract of the ambient structure I have tried and failed to do something similar for mode …
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