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A short note on model theory of C((t))

Published 21 Jan 2025 in math.LO | (2501.12545v1)

Abstract: In this short note, we study C((t)) in the language of valued rings. We show that a definable subset of C((t))n (or in monster model, Mn) is definably compact iff it is closed and unbounded. Then we give some comments on definable groups over C((t)).

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