Geodesic
On the prolongation of restrictions of Baire 1 functions to functions which are quasicontinuous and approximately continuous
Zbigniew Grande1
1 Institute of Mathematics Kazimierz Wielki University Plac Weyssenhoffa 11 85-072 Bydgoszcz, Poland
Colloquium Mathematicum, Tome 114 (2009) no. 2, pp. 237-243 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $I\subset \mathbb R$ be an open interval and let $A\subset I$ be any set. Every Baire 1 function $f:I \to \mathbb R$ coincides on $A$ with a function $g:I \to \mathbb R$ which is simultaneously approximately continuous and quasicontinuous if and only if the set $A$ is nowhere dense and of Lebesgue measure zero.
DOI : 10.4064/cm114-2-6
Keywords: subset mathbb interval subset set every baire function mathbb coincides function mathbb which simultaneously approximately continuous quasicontinuous only set nowhere dense lebesgue measure zero

Zbigniew Grande 1

1 Institute of Mathematics Kazimierz Wielki University Plac Weyssenhoffa 11 85-072 Bydgoszcz, Poland 
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Zbigniew Grande. On the prolongation of restrictions of  Baire 1 functions to functions which are 
 quasicontinuous and approximately continuous. Colloquium Mathematicum, Tome 114 (2009) no. 2, pp. 237-243. doi: 10.4064/cm114-2-6

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