Measure Theory 2.4 : Sets of Measure Zero

preview_player
Показать описание
In this video, I introduce the Cantor Set, and prove that it and countable sets (including the rationals) have measure zero.

Notes : None yet
  1. Fematika
  2. math
  3. fematika
  4. cantor
  5. set
  6. measure
Рекомендации по теме
Measure Theory by 0:00:49

Measure Theory by Paul Halmos #math

Music And Measure 0:13:13

Music And Measure Theory

msc semester -third 0:00:15

msc semester -third #2023-2024 # mathematics # measure theory

Measure Theory 20 0:09:45

Measure Theory 20 | Outer measures - Part 1

Measure theory, Lecture 0:14:00

Measure theory, Lecture 06, Definition of Translation and Dilation of a set with Related Theorems

Measurable set II 0:02:47

Measurable set II HINDI II MEASURE THEORY II

Measure Theory for 0:15:35

Measure Theory for Applied Research (Class.4: Measurable Functions)

Measure theory: Cantor 0:05:53

Measure theory: Cantor set has measure zero but uncountable part 1

Measure Theory 0:23:10

Measure Theory

Claudio Landim Measure 0:31:45

Claudio Landim Measure Theory - Lecture 01: Introduction: A Non-Measurable Set

unit 2 #4 0:05:07

unit 2 #4 Def of Almost Everywhere Property

Measure Theory for 0:12:17

Measure Theory for Applied Research (Class.2: Sigma Algebras & Measurable Spaces)

measure and Integration 0:00:03

measure and Integration

Measure Theory - 0:14:40

Measure Theory - Motivation

Measure Theory 21 0:16:48

Measure Theory 21 | Outer measures - Part 2: Examples

How REAL Men 0:00:35

How REAL Men Integrate Functions

That's Why Mohit 0:00:19

That's Why Mohit Sir Called 'God Of Mathematics'| Puzzle Brain teaser | #competishun ...

IQ TEST 0:00:29

IQ TEST

Measure Theory 1.1 0:09:30

Measure Theory 1.1 : Definition and Introduction

Measure theory: Sigma-algebra 0:26:37

Measure theory: Sigma-algebra

Measure Theory 17 0:10:28

Measure Theory 17 | Product measure and Cavalieri's principle

Lebesgue Outer Measure 0:04:41

Lebesgue Outer Measure or Outer Measure in measure theory | for MSc / MA (mathematics) | higher edu.

Group theory, abstraction, 0:21:58

Group theory, abstraction, and the 196,883-dimensional monster

Measure Theory -Lec05- 1:45:50

Measure Theory -Lec05- Frederic Schuller

Комментарии
Автор

Really like how you explained the first proof.

carlostarelo
Автор

Good work boss... Keep going.. best of luck

manojbhosale
Автор

Hi! I am studying this subject and there is a question that I want help with. The question is if A and B are measurable sets such that B is contained in A and m(B)< infinity, then m(A~B) = m(A) - m(B).
So I solved it using countable additivity on A= B union A~B and in the end I subtracted measure of B from both the sides and we are able to subtract measure of B from both the sides because measure of B is finite. So tell me 1) Is the proof ok and 2) what will happen if measure of B is not given finite in the question.

Shalini
Автор

Hi, I want to ask you that there is a set E of points in [0, 1] interval such that we remove the decimal expansion of 5 from [0, 1] and show it is uncountable? I am confused which approach should I take the way we show real numbers are uncountable or use Cantor set ternary expansion approach.

Shalini
Автор

Hello, what is the measure of Real Numbers?

mohammadghani
Автор

Why are not all the numbers in C rational given how it is defined? If this is easy, please don't give me the answer, just tell me it's easy and I will try to prove it? It would help if the proof involves a diagonal argument, as an example of what I consider easy. If it is not however easy, please give me clue how to prove it. Thank you.

VaSavoir
Автор

apart from the amazing lesson, you're so cute =))

NgaNguyenThi-pcin