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


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.

DOI Code: 10.1285/i15900932v21n1p35

Keywords: Topological projective plane; Ordered projective plane; (Multi-valued) half-ordering of a projective plane; Uniform valuation of a ternary field

Classification: 51H10; 12K99; 51G05

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