Analytic functions are $\Cal I$-density continuous
Ciesielski, Krzysztof ; Larson, Lee
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994), p. 645-652 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1994-01-01
Classification:  26A21,  26E05,  26E10 
@article{118706,
     author = {Krzysztof Ciesielski and Lee Larson},
     title = {Analytic functions are $\Cal I$-density continuous},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {35},
     year = {1994},
     pages = {645-652},
     zbl = {0826.26011},
     mrnumber = {1321235},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118706}
}

Ciesielski, Krzysztof; Larson, Lee. Analytic functions are $\Cal I$-density continuous. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) pp. 645-652. http://gdmltest.u-ga.fr/item/118706/

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