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Definable V-topologies, Henselianity and NIP

机译:Definable V-topologies, Henselianity and NIP

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摘要

We initiate the study of definable V-topologies and show that there is at most one such V-topology on a t-henselian NIP field. Equivalently, we show that if (K, v(1), v(2)) is a bi-valued NIP field with v(1) henselian (respectively, t-henselian), then v(1) and v(2) are comparable (respectively, dependent).

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