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arxiv: 1810.13240 · v1 · pith:6DSZQNW7new · submitted 2018-10-27 · 🧮 math.CA

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

classification 🧮 math.CA
keywords lusinprooftheoreminverseone-sentenceapproachbelieveclear
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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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