• THE FAITHFUL EXTENSION OF CONSTANT HEIGHT AND WIDTH BETWEEN FINITE POSETS

Abstract

The problem of faithful extension with the condition of  keeping constant height h and constant width w, i.e. for            h w -inextensibility, seems more interesting than the brute extension of finite poset (partially ordered set). We shall investigate some theorems of hw-inextensive and hw-exrensive posets can be used to formulate the faithful extension problem. A theorem in its general form of hw-inextensive posets are given to implement the presented theorems.