A many permutation group result for unstable theories

A many permutation group result for unstable theories

We extend Shelah's first many model result to show that an unstable theory has 2κ many non-permutation group isomorphic models of size κ, where κ is an uncountable regular cardinal.

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Veröffentlicht in:The Journal of symbolic logic 1998-06, Vol.63 (2), p.694-708
1. Verfasser: Schlatter, Mark D.
Format: Artikel
Sprache:eng
Schlagworte:
Automorphisms
Cofinality
Equivalence relation
Increasing sequences
Induction assumption
Logical theorems
Mathematical logic
Mathematical permutation
Mathematical theorems
Terminology
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Zusammenfassung:We extend Shelah's first many model result to show that an unstable theory has 2κ many non-permutation group isomorphic models of size κ, where κ is an uncountable regular cardinal.
ISSN:0022-4812
1943-5886
DOI:10.2307/2586858