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Some results on permutation group isomorphism and categoricity

Published online by Cambridge University Press:  12 March 2014

Anand Pillay  and
Mark D. Schlatter
Anand Pillay
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street (MC-382), Urbana, Illinois 61801-2975, USA, E-mail: pillay@rriath.uiuc.edu
Mark D. Schlatter
Affiliation:
Department of Mathematics, Centenary College of Louisiana, 2911 Centenary Blvd. Shreveport, Louisiana 71134, USA, E-mail: mschlat@centenary.edu
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Abstract

We extend Morley's Theorem to show that if a theory is κ-p-categorical for some uncountable cardinal κ, it is uncountably categorical. We then discuss ω-p-categoricity and provide examples to show that similar extensions for the Baldwin-Lachlan and Lachlan Theorems are not possible.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 67 , Issue 3 , September 2002 , pp. 910 - 914
Copyright
Copyright © Association for Symbolic Logic 2002

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References

REFERENCES

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