Lebesgue: measure and integration in Integrale, longueur, aire

What changed

Analysis gained a more powerful integration language for discontinuous functions and passage to limits.

Scientific scope

The 1902 thesis; not every later convergence theorem, abstract measure space, probability application or textbook formulation.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is anchored to the 1902 thesis; later textbooks, refinements and the entire modern measure-theory edifice are not folded into it.

Contributors

• Henri Lebesgue · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.

• Sorbonne Universite: Integrale, longueur, aire (1902 thesis)

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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