An set is a subset
of the real
numbers that is the union of a countable
set of closed sets. The name
comes from French: The F stands for fermé,
meaning "closed," while the
stands for somme, meaning "sum."
This definition is dual to that of a Gdelta set in the sense that
is an
set iff
its complement
is a Gdelta
set.
Both sets and Gdelta
sets are fundamental to measure theory. In
particular, both types of sets are Borel
sets and belong to the second level of the Borel
hierarchy.