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On the Number of Countable Models of a Countable Supersimple Theory
Author(s) -
Kim Byunghan
Publication year - 1999
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610799008054
Subject(s) - countable set , mathematics , extension (predicate logic) , pure mathematics , discrete mathematics , computer science , programming language
It is proved that the number of countable models of a countable supersimple theory is either 1 or infinite. This result is an extension of Lachlan's theorem on a superstable theory.
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