Krzysztof Ciesielski, Lee Larson
Analytic functions are $\Cal I$-density continuous

Comment.Math.Univ.Carolinae 35,4 (1994) 645-652.

Abstract:A real function is $\Cal I$-density continuous if it is continuous with the $\Cal I$-density topology on both the domain and the range. If $f$ is analytic, then $f$ is $\Cal I$-density continuous. There exists a function which is both $C^\infty $ and convex which is not $\Cal I$-density continuous.

Keywords: analytic function, $\Cal I$-density continuous, $\Cal I$-density topology
AMS Subject Classification: 26A21