On a Generalization of Wyler’s Construction of Topological Projective Planes

Abstract

The purpose of this paper is to generalize the construction of topological projective planes in the sense of Salzmann given by Wyler for the case of ordered projective planes. This generalization is also applicable to projective planes having a coordinatizing ternary field which is endowed with a uniform valuation in the sense of Kalhoff with an Abelian value group.