On some generated soft topological spaces and soft homogeneity

Samer Al Ghour; Awatef Bin-Saadon

doi:10.1016/j.heliyon.2019.e02061

On some generated soft topological spaces and soft homogeneity

Heliyon. 2019 Jul 11;5(7):e02061. doi: 10.1016/j.heliyon.2019.e02061. eCollection 2019 Jul.

Authors

Samer Al Ghour¹, Awatef Bin-Saadon¹

Affiliation

¹ Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan.

Abstract

We introduce soft homogeneity as an extension of homogeneity in ordinary topological spaces. Based on the generated soft topology of a given indexed family of classical topologies inspite of a one topology given by Terepeta in [16], we investigate soft minimal open set and homogeneity relation between the generated soft topology and the given indexed family of topologies. We introduce several results, examples and counterexamples.

Keywords: Generated soft topology; Homogeneous; Mathematics; Minimal soft open sets.