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Basic properties of real analytic and semianalytic germs

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Ruiz Sancho, Jesús María (1986) Basic properties of real analytic and semianalytic germs. Publications de l'Institut de Recherche Mathématique de Rennes, 4 . pp. 29-51.



Abstract

We give an expository account of the basic features of analytic and semianalytic germs. The main results treated here are Risler's Nullstellensatz, the curve selection lemma and the finiteness theorem for semianalytic germs. The method of proof consists of a real local parametrization theorem and an analytic version of Thom's general lemma. Finally, all these properties suggest that real spectra behave for analytic algebras as properly as for finitely generated algebras over R.


Item Type:Article
Uncontrolled Keywords:Real analytic germs; semianalytic germs
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:21170
Deposited On:29 Apr 2013 17:34
Last Modified:12 Dec 2018 15:14

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