Measure

In order for convenience in checking definition along learning in Math, I found it necessary to gather definitions of the same kind so that distinguishing the differences among them will no longer be a tedious job. This work is very hard to do even many materials are available, if you want to use for commercial use, please contact me for permission. Furthermore, the work is still long from finished, if you want to contribute for more or better definitions, please contact me.

Tianyu Zhang

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All Types of MeasuresDownload

1. Measure(on a ring)

Definition

Reference

Measure Theory, Paul R. Halmos, Chapter 2 Section 7

Related Topics

  • Definitions
  • Theorems/Corollary/Propositions/Lemmas

2. Finite Measure

Definition

Reference

Measure Theory, Paul R. Halmos, Chapter 2 Section 7

Related Topics

  • Definitions
    1. Ring
  • Theorems/Corollary/Propositions/Lemmas

3. Complete Measure

Definition

Reference

Measure Theory, Paul R. Halmos, Chapter 2 Section 7

Related Topics

  • Definitions
    1. Ring
  • Theorems/Corollary/Propositions/Lemmas

4. Premeasure

Definition

Reference

Measure Theory, Paul R. Halmos, Chapter 3 Section 12

Related Topics

5. Measure

Definition

Reference

Measure Theory, Paul R. Halmos, Chapter 3 Section 12

Related Topics

6. Signed Measure

Definition

Reference

Measure Theory, Paul R. Halmos, Chapter 3 Section 12

Related Topics

  • Definitions
  • Theorems/Corollary/Propositions/Lemmas

7. Outer Measure

Definition

Notations

Reference

Measure Theory, Paul R. Halmos, Chapter 3 Section 12

Related Topics

  • Definitions
    1. Subadditive
  • Theorems/Corollary/Propositions/Lemmas

8. Inner Measure

Definition

Remark

Reference

Measure Theory, Paul R. Halmos, Chapter 3 Section 14

Related Topics

  • Definitions
    1. Hereditary Sigma-Ring
  • Theorems/Corollary/Propositions/Lemmas

9. Lebesgue Outer Measure

Definition

Reference

Measure Theory, Paul R. Halmos, Chapter 3 Section 15

Related Topics

  • Definitions
  • Theorems/Corollary/Propositions/Lemmas

10. Lebesgue Measure

Definition

Remark

Properties

Reference

Measure Theory, Paul R. Halmos, Chapter 3 Section 15

Related Topics

  • Definitions
  • Theorems/Corollary/Propositions/Lemmas

11. Measure Space

Definition

Reference

Measure Theory, Paul R. Halmos, Chapter 4 Section 17

Related Topics

  • Definitions
  • Theorems/Corollary/Propositions/Lemmas

12. Complex Measure

Definition

Reference

Measure Theory, Paul R. Halmos, Chapter 6 Section 28

Related Topics

  • Definitions
  • Theorems/Corollary/Propositions/Lemmas