paper

A One-Sentence Inverse Image Proof of Lusin's Theorem

arXiv:1810.13240

Abstract

Standard proofs of Lusin's theorem, using simple functions, are sometimes quite elaborate. Here, we give a one-sentence proof of Lusin's theorem. We do not believe our approach, by way of inverse images, is new. However, this particular proof is strikingly clear and succinct.

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