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On the number of minimal models

Published online by Cambridge University Press:  12 March 2014

Saharon Shelah*
Hebrew University, Jerusalem, Israel


Answering a problem of Fuhrken we prove that for every κ, 1 ≤ κ ≤ ℵ0, there is a (countable) complete theory T, with no prime model, and exactly κ minimal models (up to isomorphism).

Research Article
Copyright © Association for Symbolic Logic 1978

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