The term complete in mathematics is used in the following broad senses:
- An algebraic, topological or geometric structure that is closed under certain kinds of operations.
- A structure such that any bigger structure containing it has it as a summand or split piece.
In group theory
Complete group: A group whose center is trivial and in which every automorphism is inner. Equivalently, it is a direct factor inside any group in which it is a normal subgroup.
Primary subject wiki entry: Groupprops:Complete group
In category theory
Complete category: A category that contains all small limits.
Primary subject wiki entry: Cattheory:Complete category