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# almost continuous function

*almost continuous* if, for every $\varepsilon>0$, there exists a closed subset $F$ of $\mathbb{R}$ such that $F\subseteq A$, $m(A-F)<\varepsilon$, and $f|_{F}$ is continuous.

Related:

LusinsTheorem2

Synonym:

almost continuous

Type of Math Object:

Definition

Major Section:

Reference

## Mathematics Subject Classification

28A20*no label found*

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