## Distality for the asymptotic couple of the field of logarithmic transseries.(English)Zbl 1484.03068

Summary: We show that the theory $$T_{\log}$$ of the asymptotic couple of the field of logarithmic transseries is distal. As distal theories are NIP (have the non-independence property), this provides a new proof that $$T_{\log}$$ is NIP.

### MSC:

 03C64 Model theory of ordered structures; o-minimality 03C45 Classification theory, stability, and related concepts in model theory 06F20 Ordered abelian groups, Riesz groups, ordered linear spaces 12L12 Model theory of fields
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### References:

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