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Dimension and finite closure

Published online by Cambridge University Press:  09 April 2009

W. F. Gross
W. F. Gross
Affiliation:
Department of Mathematics, University of Tasmania, Hobart, Australia.
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Abstract

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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.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 23 , Issue 4 , June 1977 , pp. 421 - 430
Copyright
Copyright © Australian Mathematical Society 1977

References

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