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The stability function of a theory1
Published online by Cambridge University Press: 12 March 2014
Abstract
Let T be a complete theory with infinite models in a countable language. The stability function gT(κ) is defined as the supremum of the number of types over models of T of power κ. It is proved that there are only six possible stability functions, namely κ, κ + 2ω, κω, ded κ, (ded κ)ω, 2κ.
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- Copyright © Association for Symbolic Logic 1978
Footnotes
This research was supported in part by NSF Grant MCS76–06541. The author is a John Simon Guggenheim Fellow.
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