Wyniki wyszukiwania

1

A model-theoretic Baire category theorem for simple theories and its applications

100%

Shami Z.

Fundamenta Mathematicae

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2013

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tom 220

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nr 3

191-206

EN

We prove a model-theoretic Baire category theorem for $τ̃_{low}^f$-sets in a countable simple theory in which the extension property is first-order and show some of its applications. We also prove a trichotomy for minimal types in countable nfcp theories: either every type that is internal in a minimal type is essentially 1-based by means of the forking topologies, or T interprets an infinite definable 1-based group of finite D-rank or T interprets a strongly minimal formula.

2

On special partial types and weak canonical bases in simple theories

100%

Shami Z.

Fundamenta Mathematicae

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2013

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tom 220

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nr 1

1-6

EN

We define the notion of a weak canonical base for a partial type in a simple theory. We prove that members of a certain family of partial types, which we call special partial types, admit a weak canonical base; this family properly contains the family of amalgamation bases.

3

Rigid $ℵ_ε$ -saturated models of superstable theories

63%

Shami Z., Shelah S.

Fundamenta Mathematicae

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1999

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tom 162

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nr 1

37-46

EN

In a countable superstable NDOP theory, the existence of a rigid $ﬡ_ε$-saturated model implies the existence of $2^λ$ rigid $ﬡ_ε$-saturated models of power λ for every $λ > 2^{ﬡ_0}$.

Ograniczanie wyników

3 Fundamenta Mathematicae

3 Shami Z.

1 Shelah S.

2 2013

1 1999

A model-theoretic Baire category theorem for simple theories and its applications

On special partial types and weak canonical bases in simple theories

Rigid $ℵ_ε$ -saturated models of superstable theories