Luzin N property
= Luzin N property
{wiki=Luzin_N_property}
The Luzin \\( N \\) property is a concept from real analysis and functional analysis, particularly in the context of measurable functions. A function \\( f: \\mathbb\{R\} \\to \\mathbb\{R\} \\) is said to have the Luzin \\( N \\) property if for every measurable set \\( E \\) of finite measure, the image \\( f(E) \\) is also a measurable set of finite measure.