New MT Article Ideas

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Here is a list of new article ideas for the Measure Theory Wiki.

Analysis Fundamentals

  • Metric space vs. Pseudometric space

Measurable Sets

  • Product - algebra
  • Borel measureable sets vs. Lebesgue measurable sets


  • Characterization of Finite Borel Measures
  • Result connecting the absolute continuity of a Borel measure with respect to the Lebesgue measure with absolutely continuous functions

Integration of Nonnegative Functions

  • Key counterexamples

Modes of Convergence

  • Pointwise a.e. convergence
  • L1 convergence