The five examples in this chapter illustrate the method described in the previous chapter; they will also serve to provide examples for the rest of the course. The author does not claim that these are the most important applications of model theory to algebra or to other branches of mathematics, or the most fruitful, and he recognizes that he has chosen cases where the back-and-forth method applies particularly well.
Prime Ideal Boolean Algebra Algebraic Closure Ultrametric Space Stone Space
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