Ring of sets/Definition

From Maths
< Ring of sets
Revision as of 17:21, 18 August 2016 by Alec (Talk | contribs) (Moved definition to sub-page. Minor style edits.)

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

Definition

A Ring of sets is a non-empty class [ilmath]R[/ilmath][1] of sets such that:

  • [math]\forall A\in R\forall B\in R[A\cup B\in R][/math]
  • [math]\forall A\in R\forall B\in R[A-B\in R][/math]

References

  1. ↑ Page 19 -Measure Theory - Paul R. Halmos
Retrieved from "http://www.maths.kisogo.com/index.php?title=Ring_of_sets/Definition&oldid=2901"