几何结构的超级和密集对

IF 0.4 4区数学 Q4 LOGIC

Archive for Mathematical Logic Pub Date : 2023-09-19 DOI:10.1007/s00153-023-00890-6

Gareth J. Boxall

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引用次数: 0

摘要

摘要设T是一个完备的几何理论，设$$T_P$$ T P是T的密对模型的理论。我们证明，如果T是超玫瑰色且“方程缺失”-秩为1，则$$T_P$$ T P是超玫瑰色且“方程缺失”-秩不超过$$\omega $$ ω。

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Superrosiness and dense pairs of geometric structures

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Superrosiness and dense pairs of geometric structures

Abstract Let T be a complete geometric theory and let $$T_P$$ T P be the theory of dense pairs of models of T . We show that if T is superrosy with "Equation missing"-rank 1 then $$T_P$$ T P is superrosy with "Equation missing"-rank at most $$\omega $$ ω .

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来源期刊

Archive for Mathematical Logic 数学-数学

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发文量

期刊介绍： The journal publishes research papers and occasionally surveys or expositions on mathematical logic. Contributions are also welcomed from other related areas, such as theoretical computer science or philosophy, as long as the methods of mathematical logic play a significant role. The journal therefore addresses logicians and mathematicians, computer scientists, and philosophers who are interested in the applications of mathematical logic in their own field, as well as its interactions with other areas of research.