On the prolongation of restrictions of Baire 1 functions to functions which are quasicontinuous and approximately continuous
Zbigniew Grande
Colloquium Mathematicae, Tome 116 (2009), p. 237-243 / Harvested from The Polish Digital Mathematics Library
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Let I ⊂ ℝ be an open interval and let A ⊂ I be any set. Every Baire 1 function f: I → ℝ coincides on A with a function g: I → ℝ which is simultaneously approximately continuous and quasicontinuous if and only if the set A is nowhere dense and of Lebesgue measure zero.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:283424 
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Zbigniew Grande. On the prolongation of restrictions of Baire 1 functions to functions which are quasicontinuous and approximately continuous. Colloquium Mathematicae, Tome 116 (2009) pp. 237-243. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm114-2-6/