We provide a new characterization of binary relations that have an open graph. This result is applicable to any binary … relation on any topological space. The relationship of this new theorem to several known results for binary relations used for …

Introduction -- Elementary Logic -- Sets, Relations, Functions -- Binary Relations -- Social Choice Theoretic Framework …

The Szpilrajn "constructive type" theorem on extending binary relations, or its generalizations by Dushnik and Miller … general "existence type" theorems on extending binary relations. Nevertheless, we are generally interested not only in the … constructive method. In this paper, we give two general "constructive type" theorems on extending binary relations, a Szpilrajn …