A class of topological space geometries
Abstract
The purpose of this paper is to introduce
-divisible
-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
-divisible
-spaces and investigate under the consequences of these topologies basic properties of these space geometries.
![R<sup>2</sup>](http://siba-ese.unile.it/plugins/generic/latexRender/cache/b4ce47cac16035b218791a1fff58972e.png)
![R<sup>3</sup>](http://siba-ese.unile.it/plugins/generic/latexRender/cache/fb98e7121fe96cf72f0b3dae7dfec639.png)
![R<sup>2</sup>](http://siba-ese.unile.it/plugins/generic/latexRender/cache/b4ce47cac16035b218791a1fff58972e.png)
![R<sup>3</sup>](http://siba-ese.unile.it/plugins/generic/latexRender/cache/fb98e7121fe96cf72f0b3dae7dfec639.png)
DOI Code:
10.1285/i15900932v15n2p175
Keywords:
Topological geometry; Space geometry
Classification:
51H10
Full Text: PDF