Real Algebraic and Analytic Geometry Preprint Server

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Submission: 2003, July 1.

Abstract:
We prove the finiteness property for the class of global semianalytic sets: we get it as a consequence of a global weak Łojasiewicz inequality for this class . This weaker result still implies the usual Hörmander's form. Some other consequences are deduced.

Mathematics Subject Classification (2000): 03C64, 12D15.

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