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The Marker-Steinhorn theorem via definable linear orders. (English) Zbl 1472.03038
Summary: We give a short proof of the Marker-Steinhorn theorem for o-minimal expansions of ordered groups. The key tool is Ramakrishnan’s classification of definable linear orders in such structures.
MSC:
03C64 Model theory of ordered structures; o-minimality
03C45 Classification theory, stability, and related concepts in model theory
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