Total set

In functional analysis, a total set (also called a complete set) in a vector space is a set of linear functionals "T" such that if "t(s) = 0" for all "t" in "T", then "s" = 0 is the zero vector.
In a more general setting, a subset "T" of a topological vector space "V" is a total set or fundamental set if the linear span of "T" is dense in "V".