New MT Article Ideas: Difference between revisions
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* Vitali's Theorem and non-existence of a measure on <math>2^\mathbb{R}</math> | * Vitali's Theorem and non-existence of a measure on <math>2^\mathbb{R}</math> | ||
* Borel <math>\sigma</math>-algebra and <math>\mathcal{B}_\mathbb{R}</math> | * Borel <math>\sigma</math>-algebra and <math>\mathcal{B}_\mathbb{R}</math> | ||
* Product <math> \sigma </math> - algebra | * Product <math> \sigma </math> - algebra | ||
* Borel measureable sets vs. Lebesgue measurable sets | * Borel measureable sets vs. Lebesgue measurable sets | ||
Revision as of 23:39, 14 November 2020
Here is a list of new article ideas for the Measure Theory Wiki.
Analysis Fundamentals
Measurable Sets
- Vitali's Theorem and non-existence of a measure on
- Borel -algebra and
- Product - algebra
- Borel measureable sets vs. Lebesgue measurable sets
Measures
- Caratheodory's Theorem
- Isomorphism of Measure Spaces
- Lebesgue-Stieljes Measures
- Characterization of Finite Borel Measures
- Approximation by Open/Compact Sets
- Cantor set
- Cantor function
Measurable Functions
- Simple functions