In
mathematics a
field of sets is a pair
where
is a
set and
is an
algebra over i.e., a non-empty subset of the
power set of
closed under the
intersection and
union of pairs of sets and under
complements of individual sets. In other words
forms a
subalgebra of the
power set Boolean algebra of
. (Many authors refer to
itself as a field of sets. The word "field" in "field of sets" is not used with the meaning of
field from field theory.) Elements of
are called
points and those of
are called
complexes and are said to be the
admissible sets of
.