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A class of topological space geometries


Abstract


The purpose of this paper is to introduce R<sup>2</sup>-divisible R<sup>3</sup>-spaces. This is a branch of topological space geometries in the sense of Betten. We define a few more topologies on the line set in R<sup>2</sup>-divisible R<sup>3</sup>-spaces and investigate under the consequences of these topologies basic properties of these space geometries.

DOI Code: 10.1285/i15900932v15n2p175

Keywords: Topological geometry; Space geometry

Classification: 51H10

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