Separation of global semianalytic sets

Hamedou Diakite

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.