• A NEW RESULT ON FAITHFUL EXTENSION OF CONSTANT HEIGHT BETWEEN FINITE POSETS

Abstract

The problem of faithful extension with the condition of keeping constant height h, i.e. for h-inextensibility, seems more difficult and interesting than the brute extension of finite poset (partially ordered set). Two counter-examples of 2-inextensive posets can be used to formulate the faithful extension problem. A theorem in its general form of 2-inextensive posets P= with n- elements (n2) incomparable to the other ones is given to implement the presented counter examples.