New MT Article Ideas: Difference between revisions
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==Measurable Sets== | ==Measurable Sets== | ||
* Product <math> \sigma </math> - algebra | * Product <math> \sigma </math> - algebra | ||
* Borel measureable sets vs. Lebesgue measurable sets | * Borel measureable sets vs. Lebesgue measurable sets | ||
==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 | ||
==Integration of Nonnegative Functions== | ==Integration of Nonnegative Functions== | ||
| Line 22: | Line 19: | ||
* Pointwise a.e. convergence | * Pointwise a.e. convergence | ||
* L1 convergence | * L1 convergence | ||
Latest revision as of 22:32, 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
Integration of Nonnegative Functions
- Key counterexamples
Modes of Convergence
- Pointwise a.e. convergence
- L1 convergence