Finessing Carathéodory’s criterion: a direct route to proving a basic result in measure theory

Measure theory has a long ancestry, but its modern form is due to a breakthrough by Henri Lebesgue, who found a way to extend a given measure to a class of sets closed under countable unions (sigm...

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Publication Details

Journal
The Mathematical Gazette
Published
2026-10-19
DOI
https://doi.org/10.1080/00255572.2026.2746490
Primary Topic
Mathematical and Theoretical Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

Finessing Carathéodory’s criterion: a direct route to proving a basic result in measure theory

Rory Allen
The Mathematical Gazette
Mathematical and Theoretical Analysis
article

Finessing Carathéodory’s criterion: a direct route to proving a basic result in measure theory

Rory Allen
article en

Abstract

Measure theory has a long ancestry, but its modern form is due to a breakthrough by Henri Lebesgue, who found a way to extend a given measure to a class of sets closed under countable unions (sigm...

The Mathematical Gazette
Goldsmiths University of London (GB)
Openalex Percentile: Top 7%
Mathematical and Theoretical Analysis
DOISourceOpenAlex
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Finessing Carathéodory’s criterion: a direct route to proving a basic result in measure theory — Rory Allen · The Mathematical Gazette (2026) | TGRS Research Map | TGRS