Real Algebraic and Analytic Geometry

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154. Vincent Astier:
Elementary equivalence of some rings of definable functions.


Submission: 2005, February 21.

We characterize elementary equivalence between von Neumann regular real closed rings and investigate when rings (and more generaly L-structures) of definable functions are elementary in each other. We also briefly consider the case of structures of definable functions satisfying some extra condition, such as continuity.

Full text, 16p.: dvi 78k, ps.gz 148k, pdf 183k.

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