Displaying similar documents to “An inverse mapping theorem for arc-analytic homeomorphisms”

On arc-analytic functions definable by a Weierstrass system

Krzysztof Jan Nowak (2011)

Annales Polonici Mathematici

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This paper presents certain characterizations through blowing up of arc-analytic functions definable by a convergent Weierstrass system closed under complexification.

Arc-analyticity and polynomial arcs

Rémi Soufflet (2004)

Annales Polonici Mathematici

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We relate the notion of arc-analyticity and the one of analyticity on restriction to polynomial arcs and we prove that in the subanalytic setting, these two notions coincide.

Implicit function theorem for locally blow-analytic functions

Laurentiu Paunescu (2001)

Annales de l’institut Fourier

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In this paper we prove the implicit function theorem for , and as an interesting application of using blow-analytic homeomorphisms, we describe a very easy way to resolve singularities of analytic curves.