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Grothendieck Rings of ℤ-Valued Fields
Published online by Cambridge University Press: 15 January 2014
Abstract
We prove the triviality of the Grothendieck ring of a ℤ-valued field K under slight conditions on the logical language and on K. We construct a definable bijection from the plane K2 to itself minus a point. When we specialize to local fields with finite residue field, we construct a definable bijection from the valuation ring to itself minus a point.
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- Copyright © Association for Symbolic Logic 2001
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