New MT Article Ideas: Difference between revisions
Jump to navigation
Jump to search
(Created page with "Here is a list of new article ideas for the Measure Theory Wiki. ==Analysis Fundamentals== * lower semicontinuous function ==Measurable Sets== * algebra of sets * <math>$\s...") |
|||
| (44 intermediate revisions by 21 users not shown) | |||
| Line 2: | Line 2: | ||
==Analysis Fundamentals== | ==Analysis Fundamentals== | ||
* | * Metric space vs. Pseudometric space | ||
==Measurable Sets== | |||
* Product <math> \sigma </math> - 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 | |||
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