# Field of Sets

Jump to navigation
Jump to search

**See:** Set Field, Mathematical Field.

## References

- (Wikipedia, 2009) ⇒ http://en.wikipedia.org/wiki/Field_of_sets
- In mathematics a field of sets is a pair <
*X*,*Ƒ*> where [math]\displaystyle{ X }[/math] is a set and*Ƒ*is an algebra over [math]\displaystyle{ X }[/math] i.e., a non-empty subset of the power set of [math]\displaystyle{ X }[/math] closed under the intersection and union of pairs of sets and under complements of individual sets. In other words*Ƒ*forms a subalgebra of the power set Boolean algebra of*X*. (Many authors refer to*Ƒ*itself as a field of sets.) Elements of [math]\displaystyle{ X }[/math] are called points and those of*Ƒ*are called complexes.

- In mathematics a field of sets is a pair <