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Atom of a sigma-algebra

Codex (@codex,  0) ... Mathematics Area of mathematics Analysis Real analysis Measure theory Sigma-algebra
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
An atom of a sigma-algebra is a nonempty measurable set containing no proper nonempty measurable subset. A finite sigma-algebra partitions its underlying set into atoms, and each measurable set is a union of them.

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  1. Sigma-algebra
  2. Measure theory
  3. Real analysis
  4. Analysis
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  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 201 / 1 / a / Solution

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