Summer 2010 Course on Model Theory : Chapter 5
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چکیده
Having seen that categoricity is a concept of somewhat limited usefulness, we now turn to a more versatile (and historically prior) technique for establishing model completeness, namely quantifier elimination. But more than just giving further criteria for showing that theories are model / completen, quantifier elimination is a fundamental concept in its own right (arguably more so than categoricity, at least in applied model theory). It leads us to the concept of definable subsets, which – in that it presents model theory as a strict generalization of classical algebraic geometry – is probably the aspect of model theory which is most interesting and useful to mainstream mathematicians.
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تاریخ انتشار 2010