The union of countably many Fσ sets is an Fσ set, and the intersection of finitely many Fσ sets is an Fσ set.
Each closed set is an Fσ set.
The set of rationals is an Fσ set. The set of irrationals is not a Fσ set.
In a Tychonoff space, each countable set is an Fσ set, because a point is closed.
where , is the set of rational numbers, which is a countable set.
See also 
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