Conull set

From Wikipedia, the free encyclopedia
Jump to navigation Jump to search

In measure theory, a conull set is a set whose complement is null, i.e., the measure of the complement is zero.[1] For example, the set of irrational numbers is a conull subset of the real line with Lebesgue measure.[2]

A property that is true of the elements of a conull set is said to be true almost everywhere.[3]

References

[edit | edit source]
  1. ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value)..
  2. ^ A related but slightly more complex example is given by Führ, p. 143.
  3. ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).. See p. 62 for an example of this usage.