Sequentially complete

In mathematics, specifically in topology and functional analysis, a subspace of a uniform space is said to be sequentially complete or semi-complete if every Cauchy sequence in converges to an element in . 
We call sequentially complete if it is a sequentially complete subset of itself. 
Sequentially complete topological vector spaces.
Every topological vector space (TVS) is a uniform space so the notion of sequential completeness can be applied to them. 