Journal
JOURNAL OF SYMBOLIC LOGIC
Volume 70, Issue 3, Pages 829-860Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.2178/jsl/1122038916
Keywords
categoricity; compact abstract theories
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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 lambda >= omega(1), then it has a unique complete model of density character lambda for every lambda >= omega(1).
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