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On topological spaces equivalent to ordinals
Published online by Cambridge University Press: 12 March 2014
Abstract
Let L be one of the topological languages Lt, (L∞ω)t and (Lκω)t. We characterize the topological spaces which are models of the L-theory of the class of ordinals equipped with the order topology. The results show that the role played in classical model theory by the property of being well-ordered is taken over in the topological context by the property of being locally compact and scattered.
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- Copyright © Association for Symbolic Logic 1988
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