## 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

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