Some Results on Permutation Group Isomorphism and Categoricity

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

• Type: Journal
• Year: 2002
• Where: JSYML
• Authors: Anand Pillay, Mark D. Schlatter
• Keywords: JSYML 2002, Lachlan Theorems, Similar Extensions, Uncountable Cardinal