Real Algebraic and Analytic Geometry

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19. F. Acquistapace, F. Broglia, M. Shiota:
The finiteness property and Łojasiewicz inequality for global semianalytic sets.

e-mail: , ,

Submission: 2003, July 1.

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.

Full text, 15p.: dvi 63k, ps.gz 151k, pdf 192k.

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