AbstractWe construct under CH many uncountable sets of reals with strong combinatorial properties which are defined in terms of measure and category. All our constructions involve a sequence of countable ZFC-models and a sequence of generics over these models for the appropriate partial ordering. We also construct several uncountable hereditary γ-sets
summary:The paper contains a self-contained alternative proof of my Theorem in Characterization of g...
Abstract. Using ♦ and large cardinals we extend results of Magidor–Malitz and Farah–Larson to obtain...
Abstract. Using ♦ and large cardinals we extend results of Magidor–Malitz and Farah–Larson to obtain...
We study countable embedding-universal and homomorphism-universal structures and unify results relat...
In this paper, we show that for each forcing notion P in a transitive model M of ZFC, if P satisfies...
In this paper, we show that for each forcing notion P in a transitive model M of ZFC, if P satisfies...
We study countable embedding-universal and homomorphism-universal structures and unify results relat...
We study countable embedding-universal and homomorphism-universal structures and unify results relat...
AbstractHrushovski originated the study of “flat” stable structures in constructing a new strongly m...
We study the complexity of the classification problem for countable models of set theory (ZFC). We p...
We introduce new classes of small subsets of the reals, having natural combinatorial definitions, na...
In this dissertation we study closure properties of pointclasses, scales on sets of reals and the mo...
We introduce new classes of small subsets of the reals, having natural combinatorial definitions, na...
We study the complexity of the classification problem for countable models of set theory (ZFC). We p...
We study capturing construction schemes, a new combinatorial tool introduced by Todorcevic to build ...
summary:The paper contains a self-contained alternative proof of my Theorem in Characterization of g...
Abstract. Using ♦ and large cardinals we extend results of Magidor–Malitz and Farah–Larson to obtain...
Abstract. Using ♦ and large cardinals we extend results of Magidor–Malitz and Farah–Larson to obtain...
We study countable embedding-universal and homomorphism-universal structures and unify results relat...
In this paper, we show that for each forcing notion P in a transitive model M of ZFC, if P satisfies...
In this paper, we show that for each forcing notion P in a transitive model M of ZFC, if P satisfies...
We study countable embedding-universal and homomorphism-universal structures and unify results relat...
We study countable embedding-universal and homomorphism-universal structures and unify results relat...
AbstractHrushovski originated the study of “flat” stable structures in constructing a new strongly m...
We study the complexity of the classification problem for countable models of set theory (ZFC). We p...
We introduce new classes of small subsets of the reals, having natural combinatorial definitions, na...
In this dissertation we study closure properties of pointclasses, scales on sets of reals and the mo...
We introduce new classes of small subsets of the reals, having natural combinatorial definitions, na...
We study the complexity of the classification problem for countable models of set theory (ZFC). We p...
We study capturing construction schemes, a new combinatorial tool introduced by Todorcevic to build ...
summary:The paper contains a self-contained alternative proof of my Theorem in Characterization of g...
Abstract. Using ♦ and large cardinals we extend results of Magidor–Malitz and Farah–Larson to obtain...
Abstract. Using ♦ and large cardinals we extend results of Magidor–Malitz and Farah–Larson to obtain...
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