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Baire classification of ...-density and ...-approximately continous functions.

K. Ciesielski; Lee Larson — 1995

Forum mathematicum

Analytic functions are $ℐ$ -density continuous

Krzysztof Ciesielski; Lee Larson — 1994

Commentationes Mathematicae Universitatis Carolinae

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

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Baire classification of ...-density and ...-approximately continous functions.

Analytic functions are ℐ -density continuous

Analytic functions are $ℐ$ -density continuous