Real analytic desingularization and subanalytic sets: an elementary approach

Sussmann, H. J.

doi:10.1090/S0002-9947-1990-0943608-5

Real analytic desingularization and subanalytic sets: an elementary approach
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Trans. Amer. Math. Soc. 317 (1990), 417-461 Request permission

Abstract:

We give a proof of a theorem on desingularization of real-analytic functions which is a weaker version of H. Hironaka’s result, but has the advantage of being completely self-contained and elementary, and not involving any machinery from algebraic geometry. We show that the basic facts about subanalytic sets can be proved from this result.

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Subanalytic sets, stratifications and desingularization