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...

Descripción completa

Detalles Bibliográficos
Autores principales: Al Ghour, Samer, Bin-Saadon, Awatef
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2019
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6627162/
https://www.ncbi.nlm.nih.gov/pubmed/31338469
http://dx.doi.org/10.1016/j.heliyon.2019.e02061
_version_ 1783434674881691648
author Al Ghour, Samer
Bin-Saadon, Awatef
author_facet Al Ghour, Samer
Bin-Saadon, Awatef
author_sort Al Ghour, Samer
collection PubMed
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.
format Online
Article
Text
id pubmed-6627162
institution National Center for Biotechnology Information
language English
publishDate 2019
publisher Elsevier
record_format MEDLINE/PubMed
spelling pubmed-66271622019-07-23 On some generated soft topological spaces and soft homogeneity Al Ghour, Samer Bin-Saadon, Awatef Heliyon Article 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. Elsevier 2019-07-11 /pmc/articles/PMC6627162/ /pubmed/31338469 http://dx.doi.org/10.1016/j.heliyon.2019.e02061 Text en © 2019 The Authors http://creativecommons.org/licenses/by/4.0/ This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Al Ghour, Samer
Bin-Saadon, Awatef
On some generated soft topological spaces and soft homogeneity
title 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_short On some generated soft topological spaces and soft homogeneity
title_sort on some generated soft topological spaces and soft homogeneity
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6627162/
https://www.ncbi.nlm.nih.gov/pubmed/31338469
http://dx.doi.org/10.1016/j.heliyon.2019.e02061
work_keys_str_mv AT alghoursamer onsomegeneratedsofttopologicalspacesandsofthomogeneity
AT binsaadonawatef onsomegeneratedsofttopologicalspacesandsofthomogeneity

Ejemplares similares