Abstract
Connections between strong -density (for plane sets) and one-dimensional -density are studied. Other results deal with separately -approximately continuous functions. A topology associated with separately -approximately continuous functions, similar to O’Malley’s one is introduced and investigated. Among others it is shown that strong -approximate continuity implies separate -approximate continuity and that a separately -approximately continuous function is Baire and need not be Baire . Finally, some properties of functions with -approximately continuous sections are studied.
Citation
Marek Balcerzak. Ewa Lazarow. Wladyslaw Wilczynski. "ON ONE- AND TWO-DIMENSIONAL -DENSITIES AND RELATED KINDS OF CONTINUITY." Real Anal. Exchange 13 (1) 80 - 93, 1987/1988. https://doi.org/10.2307/44151851
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