An arc-analytic function with nondiscrete singular set

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Laboratorie de Mathématiques, Université de Savoie, Campus Scientifique, 73376 Le Bourget-du-Lac Cedex, France

We construct an arc-analytic function (i.e. analytic on every real-analytic arc) in ℝ² which is analytic outside a nondiscrete subset of ℝ².

arc-analytic, blow-up, projective limit, strict transform

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