Measure Theory Wiki: Difference between revisions
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== Measure Theory == | == Measure Theory == | ||
* [[Algebra]] | * [[Algebra]] | ||
* [[Approximation by Open/Compact Sets]] | |||
* [[Sigma-algebra | <math>\sigma</math>-algebra]] | * [[Sigma-algebra | <math>\sigma</math>-algebra]] | ||
* [[Inner measure]] | * [[Inner measure]] | ||
* [[Outer measure]] | * [[Outer measure]] | ||
* [[Measures]] | * [[Measures]] | ||
* [[Banach-Tarski Paradox]] | * [[Absolutely Continuous Measures]] | ||
* [[Borel-Cantelli Lemma]] | |||
* [[Banach-Tarski Paradox]] <-- this would be a great article for someone to edit; while it is very well written, it lacks references. | |||
* [[Measurable function]] | * [[Measurable function]] | ||
* [[Intersections of Open Sets and Unions of Closed Sets]] (<math>\mathcal{G}^\delta</math> and <math>\mathcal{F}^\sigma</math> sets) | * [[Intersections of Open Sets and Unions of Closed Sets]] (<math>\mathcal{G}^\delta</math> and <math>\mathcal{F}^\sigma</math> sets) | ||
* [[Cantor Set]] | * [[Cantor Set]] | ||
* [[Cantor Function]] | * [[Cantor Function]] | ||
* [[Simple Function]] | |||
* [[Monotone Convergence Theorem]] | |||
* [[Beppo-Levi Theorem]] | |||
* [[Fatou's Lemma]] | |||
* [[Egerov's Theorem/Bounded Convergence Theorem]] | |||
* [[Dominated Convergence Theorem]] | |||
* [[Isomorphism of Measure Spaces]] | |||
* [[L1 Space]] | |||
* [[Lusin's Theorem]] | |||
* [[Caratheodory's Theorem]] | |||
* [[Convergence in Measure]] | |||
* [[Modes of Convergence]] | |||
* [[Borel sigma-algebra| Borel <math>\sigma</math>-algebra and <math>\mathcal{B}_\mathbb{R}</math>]] | |||
* [[Vitali's Theorem and non-existence of a measure]] | |||
* [[Lebesgue-Stieljes Measures]] | |||
* [[L1 convergence]] | |||
* [[Littlewood's First Principle]] | |||
== Other == | == Other == | ||
Latest revision as of 22:33, 19 December 2020
Welcome to the Measure Theory Wiki!
Here are some New MT Article Ideas
Real Analysis Background
Measure Theory
- Algebra
- Approximation by Open/Compact Sets
- -algebra
- Inner measure
- Outer measure
- Measures
- Absolutely Continuous Measures
- Borel-Cantelli Lemma
- Banach-Tarski Paradox <-- this would be a great article for someone to edit; while it is very well written, it lacks references.
- Measurable function
- Intersections of Open Sets and Unions of Closed Sets ( and sets)
- Cantor Set
- Cantor Function
- Simple Function
- Monotone Convergence Theorem
- Beppo-Levi Theorem
- Fatou's Lemma
- Egerov's Theorem/Bounded Convergence Theorem
- Dominated Convergence Theorem
- Isomorphism of Measure Spaces
- L1 Space
- Lusin's Theorem
- Caratheodory's Theorem
- Convergence in Measure
- Modes of Convergence
- Borel -algebra and
- Vitali's Theorem and non-existence of a measure
- Lebesgue-Stieljes Measures
- L1 convergence
- Littlewood's First Principle
