Is this an outer measure? - Countable / uncountable | Measure Theory

preview_player
Показать описание
We practice proving that a function is an outer measure. It is defined as 0 if the set is countable and 1 if the set is uncountable.

📚 Buy measure theory books:

💸 Support us on Patreon, get great perks and items!

💥 Over 40k followers on Instagram, join us!

Timestamps in this video:

00:00 Introduction.
00:32 Definition of the function.
00:59 The measure of ∅ is 0.
01:25 Monotonicity.
4:55 Countable subadditivity.

#maths #measuretheory #analysis
  1. Problemathic
  2. measure theory
  3. measure
  4. analysis
  5. teoria de la medida
  6. medida
Рекомендации по теме
Measure Theory 20 0:09:45

Measure Theory 20 | Outer measures - Part 1

Measure Theory 20 0:09:31

Measure Theory 20 | Outer measures - Part 1 [dark version]

Measure Theory 21 0:16:48

Measure Theory 21 | Outer measures - Part 2: Examples

Is this an 0:13:26

Is this an outer measure? - Countable / uncountable | Measure Theory

Measure Theory 2.1 0:11:00

Measure Theory 2.1 : Lebesgue Outer Measure

Measure Theory & 0:55:25

Measure Theory & Functional Analysis 4: Outer Measures

Example of Outer 0:07:29

Example of Outer measure

Lebesgue Outer Measure 0:17:56

Lebesgue Outer Measure

Measure Theory 1.3 0:11:30

Measure Theory 1.3 : Outer Measures and Measurable Sets

Lebesgue outer measure: 0:36:13

Lebesgue outer measure: definition and properties (MAT)

Lecture 8: Lebesgue 1:14:02

Lecture 8: Lebesgue Measurable Subsets and Measure

Measure Theory 22 0:15:26

Measure Theory 22 | Outer measures - Part 3: Proof

Show that the 0:00:33

Show that the outer measure of an empty set is zero ;M°{☮️}=0

Lec2 Math611 Lebesgue 1:00:27

Lec2 Math611 Lebesgue Outer Measure

Outer Measure with 0:57:18

Outer Measure with Properties||Real Analysis||Msc Maths(sem-02)

Definition of Outer 0:06:22

Definition of Outer measure II HINDI II MEASURE THEORY

measure theory/Lebesgue measure 0:51:11

measure theory/Lebesgue measure theory/L 1/Exterior measure outer measure/interior measure real

Lecture 2: Outer 1:07:41

Lecture 2: Outer measures, construction of the Lebesgue measure.

Lebesgue's Outer Measure 0:26:02

Lebesgue's Outer Measure | Measure Theory

Measure Theory: Part 0:16:48

Measure Theory: Part 21 Outer Measures (2) - Examples

Lecture 5 (outer 0:18:00

Lecture 5 (outer measure)

Countable Sets and 0:08:19

Countable Sets and the Lebesgue Outer Measure (Real functions Lesson II)

Definition of outer 0:12:59

Definition of outer measure and measurable set in measure Theory Lec#18

outer measure.(part18.8) 0:00:08

outer measure.(part18.8)