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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Real analytic desingularization and subanalytic sets: an elementary approach

Author: H. J. Sussmann
Journal: Trans. Amer. Math. Soc. 317 (1990), 417-461
MSC: Primary 32B20; Secondary 32C45
MathSciNet review: 943608
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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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