Separation of global semianalytic sets

Hamedou Diakite

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Displaying similar documents to “Separation of global semianalytic sets”

On Algebraicity of Global Real Analytic Sets and Functions

J. Bochnak, W. Kucharz, M. Shiota (1982/83)

Inventiones mathematicae

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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.

Constructing blow-analytic isomorphisms

Toshizumi Fukui, Tzee-Char Kuo, Laurentiu Paunescu (2001)

Annales de l’institut Fourier

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In this paper we construct non-trivial examples of isomorphisms and we obtain, via toric modifications, an inverse function theorem in this category. We also show that any analytic curve in $ℝ^{n}, n \geq 3$ , can be deformed via a rational blow- analytic isomorphism of $ℝ^{n}$ , to a smooth analytic arc.