Geodesic
A Remark on the Theorems of Lusin and Egoroff
Canadian mathematical bulletin, Tome 7 (1964) no. 2, pp. 291-295

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In this note we do not intend to establish new results but only to suggest avery simple proof of Lusin's theorem, direct for σ-finite regular measures,a proof that bypasses the usual procedure of first establishing this theoremfor sets of finite measure only. The proposed proof utilizes the notion ofsubuniform convergence, a method which seems not yet to have been used,despite its simplicity and adaptability. Simultaneously, a useful supplementto Egoroff's theorem will be obtained. 
Zakon, Elias. A Remark on the Theorems of Lusin and Egoroff. Canadian mathematical bulletin, Tome 7 (1964) no. 2, pp. 291-295. doi: 10.4153/CMB-1964-028-x
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     title = {A {Remark} on the {Theorems} of {Lusin} and {Egoroff}},
     journal = {Canadian mathematical bulletin},
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