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PMATH 650Measure Theory

Units
0.50
Level
Graduate
Faculty
Mathematics
Subject
Pure Mathematics

PMATH 650 as listed in the Fall 2025 Graduate Calendar. The main page has the current version, when it runs, and seats.

Review of Riemann integration. Measure spaces: sigma-algebras, Borel sets, outer measure, Caratheodory condition, Lebesgue-Steiltjes measures, translation invariance and regularity of Lebesgue measure. Measurable functions: simple approximation, Egorov's and Lusin's theorems. Integration: monotone convergence theorem, Fatou's lemma, Lebesgue dominated convergence theorem. Signed measures: Hahn and Jordan decompositions, absolute continuity of measures, Radon-Nikodym theorem. Lp spaces: completeness, separability, Riesz representation theorem.

Prerequisites

None listed.

Antirequisites

  • Not completed nor concurrently enrolled in:

Leads to

No course lists it as a requisite.

Check it elsewhere for Fall 2025

Calendar versions

Graduate Calendar

Older Graduate Calendars

In 30 terms, Fall 2010 to Winter 2024