A One-Sentence Inverse Image Proof of Lusin's Theorem
Classical Analysis and ODEs
2018-11-01 v1
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.
Cite
@article{arxiv.1810.13240,
title = {A One-Sentence Inverse Image Proof of Lusin's Theorem},
author = {Samuel J. Ferguson and Tianqi Wu},
journal= {arXiv preprint arXiv:1810.13240},
year = {2018}
}
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