An arc-analytic function with nondiscrete singular set

Krzysztof Kurdyka
1994 Annales Polonici Mathematici  
We construct an arc-analytic function (i.e. analytic on every real-analytic arc) in R 2 which is analytic outside a nondiscrete subset of R 2 .
doi:10.4064/ap-59-3-251-254 fatcat:qpryyem6cfd5fn72ker5by4e6e