Real analytic desingularization and subanalytic sets: an elementary approach
Real analytic desingularization and subanalytic sets: an elementary approach
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实解析去奇异化和亚解析集：一种基本方法
DOI：
10.1090/s0002-9947-1990-0943608-5
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发表时间：
1990
期刊：
影响因子：
--
通讯作者：
H. Sussmann
中科院分区：
文献类型：
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作者：
H. Sussmann
本文给出了实解析函数去广域化定理的一个证明，它是Hironaka结果的一个较弱版本，但具有完全自包含和初等的优点，并且不涉及任何代数几何的机制。由此证明了子解析集的基本事实。
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.