A set equipped with a total order is a totally ordered set; the terms simply ordered set, linearly ordered set, toset and loset are also used. The term chain is sometimes defined as a synonym of totally ordered set, but generally refers to a totally ordered subset of a given partially ordered set.
A set equipped with a total order is a totally ordered set; the terms simply ordered set linearly ordered set toset and loset are also used The term chain is sometimes defined as a synonym of totally ordered set but generally refers to a totally ordered subset of a given partially ordered set