A New Perspective On Soft Topology

Abstract

In this paper, we approach the concept of soft topology with a different perspective. We define a soft topological space over given initial topological universe as a parameterization of subspaces of a topological space. In addition to this, we define some basic topological concepts such as Hausdorffness, compactness, connectedness for soft topological spaces and study their some properties. We give some results for relations between a topological space and a soft topological space that is defined on it.

Keywords:

Soft set; Soft topological space; Hausdorffness; Compactness; Connectedness

DOI: 10.17350/HJSE19030000080

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Published
2018-04-06
How to Cite
Kandemir, M. B. (2018). A New Perspective On Soft Topology. Hittite Journal of Science & Engineering, 5(2), 105-113. Retrieved from https://www.hjse.hitit.edu.tr/hjse/index.php/HJSE/article/view/HJSE19030000080
Section
SCIENCE