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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1. mu*-measurable
Definition
Reference
Measure Theory, Paul R. Halmos, Chapter 2 Section 11
Related Topics
- Definitions
- Hereditary Sigma-Ring
- Outer Measure
- Theorems/Corollary/Propositions/Lemmas
2. Measurable Cover
Definition
Reference
Measure Theory, Paul R. Halmos, Chapter 3 Section 12
Related Topics
- Definitions
- Hereditary Sigma-Ring
- Theorems/Corollary/Propositions/Lemmas
3. Measurable Kernel
Definition
Reference
Measure Theory, Paul R. Halmos, Chapter 3 Section 14
Related Topics
- Definitions
- Hereditary Sigma-Ring
- Sigma-Field(Algebra)
- Theorems/Corollary/Propositions/Lemmas
4. Lebesgue Measurable
Definition
Reference
Measure Theory, Paul R. Halmos, Chapter 3 Section 15
Related Topics
- Definitions
- Theorems/Corollary/Propositions/Lemmas
5. Measurable(of a set)
Definition
Reference
Measure Theory, Paul R. Halmos, Chapter 3 Section 15
Related Topics
- Definitions
- Ring
- Sigma-Ring
- Theorems/Corollary/Propositions/Lemmas
6. Measurable(of a function)
Definition
Reference
Measure Theory, Paul R. Halmos, Chapter 3 Section 15
Related Topics
- Definitions
- Theorems/Corollary/Propositions/Lemmas
7. Borel Measurable Function
Definition
Reference
Measure Theory, Paul R. Halmos, Chapter 3 Section 15
Related Topics
- Definitions
- Theorems/Corollary/Propositions/Lemmas
8. Lebesgue Measurable Function
Definition
Remark
Reference
Measure Theory, Paul R. Halmos, Chapter 3 Section 15
Related Topics
- Definitions
- Theorems/Corollary/Propositions/Lemmas