A function which is arc-analytic but not continuous
Authors: E. Bierstone, P. D. Milman and A. Parusiński
Journal: Proc. Amer. Math. Soc. 113 (1991), 419-423
MSC: Primary 32B20
MathSciNet review: 1072083
Full-text PDF Free Access
Abstract: We construct an arc-analytic function (i.e., a function analytic on every real analytic arc) which is not continuous, as well as a continuous arc-analytic function which is not subanalytic.
E. Bierstone and P. D. Milman, Arc-analytic functions, Invent. Math. 101 (1990), 411-424.
Retrieve articles in Proceedings of the American Mathematical Society with MSC: 32B20
Retrieve articles in all journals with MSC: 32B20