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arXiv · 0706.3950

Thorn independence in the field of real numbers with a small multiplicative group

Alexander Berenstein·Clifton Ealy·Ayhan Günaydin
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Abstract

We characterize thorn-independence in a variety of structures, focusing on the field of real numbers expanded by predicate defining a dense multiplicative subgroup, G, satisfying the Mann property and whose pth powers are of finite index in G. We also show such structures are super-rosy and eliminate imaginaries up to codes for small sets.

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Alexander Berenstein, Clifton Ealy, Ayhan Günaydin. 2007-06-27. Thorn independence in the field of real numbers with a small multiplicative group. https://arxiv.org/abs/0706.3950

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