Èíôîðìàöèîííàÿ ñèñòåìà "Êîíôåðåíöèè"


The 9th Asian Logic Conference

16-19 August, 2005
Novosibirsk, Russia

Abstracts

Model theory and set theory

Expansions of models of stable theories and weakly benign property.

Baizhanov B.S.

Institute for Problems of Informatics and Control; Center of physical and mathematical research of Ministry of Education and Scince of Kazakhstan (Almaty)

We continue [1] to study the expansion of stable structures by adding predicate for arbitrary subset. Call a set A (weakly) benign if any type over A in the expanded language is determined by its restriction to (strong) type of the base language.

In our report we consider the conditions, when stable sets are weakly benign.

REFERENCE

[1] Bektur Baizhanov and John T. Baldwin, Local Homogeneity, The Journal of Symbolic Logic, Vol. 69 (2004), pp. 1243-1260.

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