منابع مشابه
Countable imaginary simple unidimensional theories are supersimple
We prove that a countable simple unidimensional theory that eliminates hyperimaginaries is supersimple. This solves a problem of Shelah in the more general context of simple theories under weak assumptions.
متن کاملOn countable simple unidimensional theories
We prove that any countable simple unidimensional theory T is supersimple, under the additional assumptions that T eliminates hyperimaginaries and that the Dφ-ranks are finite and definable.
متن کاملVaught's conjecture for unidimensional theories
In Bue93b] we proved Vaught's conjecture for all superstable theories of nite rank; that is, such a theory has countably many or continuum many countable models. While this proof does settle Vaught's conjecture for unidimensional theories a sharper result can be obtained for these theories and in places the proof can be simpliied. Let T be a properly unidimensional theory with < 2 @ 0 many coun...
متن کاملCountable imaginary simple unidimensional theories
We prove that a countable simple unidimensional theory that eliminates hyperimaginaries is supersimple. This solves a problem of Shelah in the more general context of simple theories under weak assumptions.
متن کاملRigid א 2 - saturated models of superstable theories ∗
In a countable superstable NDOP theory, the existence of a rigid א2-saturated model implies the existence of 2 λ rigid א2-saturated models of power λ for every λ > 2א0 .
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 1990
ISSN: 0168-0072
DOI: 10.1016/0168-0072(90)90046-5