Total set

 ( Linear Algebra ) 

In functional analysis, a total set (also called a complete set) in a vector space is a set of linear functionals $T$ with the property that if a vector $x\; \backslash in\; X$ satisfies $f(x)\; =\; 0$ for all $f\; \backslash in\; T,$ then $x\; =\; 0$ is the zero vector.

In a more general setting, a subset $T$ of a topological vector space $X$ is a total set or fundamental set if the linear span of $T$ is Dense set in $X.$