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Dimension and finite closure
Published online by Cambridge University Press: 09 April 2009
Abstract
If is a model with dimension and finite closure, then T(
) is No-categorical. If
is atomic, has dimension and finitely many algebraic elements, then
has finite closure or a finite basis. If
has finite closure, satisfies the Exchange Lemma, and one-one maps between independent subsets are elementary, then
has dimension.
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- Copyright © Australian Mathematical Society 1977