Some results on permutation group isomorphism and categoricity

Journal of Symbolic Logic 67 (3):910-914 (2002)
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
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DOI 10.2178/jsl/1190150138
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