A function which is arc-analytic but not continuous

Bierstone, E.; Milman, P. D.; Parusiński, A.

doi:10.1090/S0002-9939-1991-1072083-4

			Journals Home Search Author Info Subscribe Tech Support My Subscriptions Browser Compatibility Info Help
ISSN 1088-6826(online) ISSN 0002-9939(print)

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 | References | Similar Articles | Additional Information

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.

[1] Edward Bierstone and Pierre D. Milman, Arc-analytic functions, Invent. Math. 101 (1990), no. 2, 411–424. MR 1062969 (92a:32011), http://dx.doi.org/10.1007/BF01231509

	Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
\|