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Uncountable dense categoricity in cats

Published online by Cambridge University Press:  12 March 2014

Itay Ben-Yaacov
Itay Ben-Yaacov*
Affiliation:
University of Wisconsin – Madison, Department of Mathematics, 480 Lincoln Drive, Madison, WI 53706-1388, USAE-mail:, pezz@math.wisc.edu URL: http://www.math.wisc.edu/~pezz
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Abstract

We prove that under reasonable assumptions, every cat (compact abstract theory) is metric, and develop some of the theory of metric cats. We generalise Morley's theorem: if a countable Hausdorff cat T has a unique complete model of density character λ ≥ ω, then it has a unique complete model of density character λ for every λ ≥ ω.

Keywords

categoricitycompact abstract theories
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 70 , Issue 3 , September 2005 , pp. 829 - 860
Copyright
Copyright © Association for Symbolic Logic 2005

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References

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