On some generated soft topological spaces and soft homogeneity

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 betwe...

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Bibliographic Details
Main Authors: Samer Al Ghour, Awatef Bin-Saadon
Format: Article
Language:English
Published: Elsevier 2019-07-01
Series:Heliyon
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2405844019357214
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spelling doaj-771d15f1e98144e8b91b8b608ddac9e42020-11-25T02:49:21ZengElsevierHeliyon2405-84402019-07-0157e02061On some generated soft topological spaces and soft homogeneitySamer Al Ghour0Awatef Bin-Saadon1Corresponding author.; Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, JordanDepartment of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, JordanWe 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.http://www.sciencedirect.com/science/article/pii/S2405844019357214MathematicsMinimal soft open setsHomogeneousGenerated soft topology
collection DOAJ
language English
format Article
sources DOAJ
author Samer Al Ghour
Awatef Bin-Saadon
spellingShingle Samer Al Ghour
Awatef Bin-Saadon
On some generated soft topological spaces and soft homogeneity
Heliyon
Mathematics
Minimal soft open sets
Homogeneous
Generated soft topology
author_facet Samer Al Ghour
Awatef Bin-Saadon
author_sort Samer Al Ghour
title On some generated soft topological spaces and soft homogeneity
title_short On some generated soft topological spaces and soft homogeneity
title_full On some generated soft topological spaces and soft homogeneity
title_fullStr On some generated soft topological spaces and soft homogeneity
title_full_unstemmed On some generated soft topological spaces and soft homogeneity
title_sort on some generated soft topological spaces and soft homogeneity
publisher Elsevier
series Heliyon
issn 2405-8440
publishDate 2019-07-01
description 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.
topic Mathematics
Minimal soft open sets
Homogeneous
Generated soft topology
url http://www.sciencedirect.com/science/article/pii/S2405844019357214
work_keys_str_mv AT sameralghour onsomegeneratedsofttopologicalspacesandsofthomogeneity
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