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On the number of nonisomorphic models of size |T|

Published online by Cambridge University Press:  12 March 2014

Ambar Chowdhury
Ambar Chowdhury*
Affiliation:
Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, CanadaL8S 4K1,, E-mail:achowdhu@johnny.math.mcmaster.ca
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Abstract

Let T be an uncountable, superstable theory. In this paper we prove

Theorem A. If T has finite rank, then I(|T|, T) ≥ ℵ0.

Theorem B. If T is trivial, then I(|T|, T) ≥ ℵ0.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 59 , Issue 1 , March 1994 , pp. 41 - 59
Copyright
Copyright © Association for Symbolic Logic 1994

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