Luzin's theorem(redirected from Lusin's theorem)
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Luzin's theorem[‚lü·zēnz ‚thir·əm]
Given a measurable function ƒ which is finite almost everywhere in a euclidean space, then for every number ε > 0 there is a continuous function g which agrees with ƒ, except on a set of measure less than ε. Also spelled Lusin's theorem.