Geodesic
An arc-analytic function with nondiscrete singular set
Annales Polonici Mathematici, Tome 59 (1994) no. 3, pp. 251-254.

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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.
DOI : 10.4064/ap-59-3-251-254
Keywords: arc-analytic, blow-up, projective limit, strict transform

Krzysztof Kurdyka 1

1 
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Krzysztof Kurdyka. An arc-analytic function with nondiscrete singular set. Annales Polonici Mathematici, Tome 59 (1994) no. 3, pp. 251-254. doi : 10.4064/ap-59-3-251-254. http://geodesic.mathdoc.fr/articles/10.4064/ap-59-3-251-254/

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