New MT Article Ideas: Difference between revisions
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==Measures== | ==Measures== | ||
* Characterization of Finite Borel Measures | * Characterization of Finite Borel Measures | ||
* Result connecting the absolute continuity of a Borel measure with respect to the Lebesgue measure with absolutely continuous functions | * Result connecting the absolute continuity of a Borel measure with respect to the Lebesgue measure with absolutely continuous functions | ||
Revision as of 01:50, 19 December 2020
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
Measures
- Characterization of Finite Borel Measures
- Result connecting the absolute continuity of a Borel measure with respect to the Lebesgue measure with absolutely continuous functions
- Approximation by Open/Compact Sets
Integration of Nonnegative Functions
- Key counterexamples
Modes of Convergence
- Pointwise a.e. convergence
- L1 convergence