We construct an arc-analytic function (i.e. a function analytic on each analytic arc) whose graph is not subanalytic.
@article{bwmeta1.element.bwnjournal-article-apmv55z1p241bwm, author = {Krzysztof Kurdyka}, title = {A counterexample to subanalyticity of an arc-analytic function}, journal = {Annales Polonici Mathematici}, volume = {55}, year = {1991}, pages = {241-243}, zbl = {0752.32005}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv55z1p241bwm} }
Krzysztof Kurdyka. A counterexample to subanalyticity of an arc-analytic function. Annales Polonici Mathematici, Tome 55 (1991) pp. 241-243. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv55z1p241bwm/
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