Ring

The Following definitions are from the book Measure Theory, by Paul R. Halmos. Aside from the basic definitions, these definitions have tiny size so there will be no attached files associated with the following contents, however, one may find the pdf version by clicking the address short after this intro section.

Tianyu Zhang


1. Ring

Definition

Reference

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

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2. Sigma-Ring

Definition

Remark

Reference

https://en.wikipedia.org/wiki/Sigma-ring

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3. Delta-Ring

Definition

Remark

Reference

https://en.wikipedia.org/wiki/Delta-ring

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4. Hereditary Sigma-Ring

Definition

Remark

Reference

Measure Theory, Paul R. Halmos, Chapter 2 Section 10

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