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Mekler’s Construction on NTP1 Theory
[2018 Discrete Math 세미나]
Date: 2018-10-01
Speaker : 안진후 (연세대학교)
Abstract : Any structure whose language is finite has a model of graph theory which is bi-interpretable with it. From this idea, Mekler further developed a way of interpreting a model into a group. This Mekler’s construction preserves various model-theoretic properties such as stability, simplicity, and NTP2, thus helps us find new group examples in model theory. In this talk, I will introduce to you what Mekler’s construction is and briefly show that this preserves NTP1.
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