# Article

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Keywords:
analytic function; $\Cal I$-density continuous; $\Cal I$-density topology
Summary:
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.
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