Study some other classes of soft generalized separation axioms via soft Е-open sets

The goal of present our paper is to introduce another extension for the classical meaning of soft generalized separation axioms namely, soft E - separation axioms by utilizing soft E - open sets, which are more general than of the paper is devoted to obtain some characterizations and essential prope...

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Bibliographic Details
Published in:AIP conference proceedings 2023-03, Vol.2475 (1)
Main Authors: Farhan, Ayat Ahmed, Al Jumaili, Alaa M. F.
Format: Article
Language:English
Subjects:
Axioms
Separation
Topology
Online Access:Get full text
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Summary:The goal of present our paper is to introduce another extension for the classical meaning of soft generalized separation axioms namely, soft E - separation axioms by utilizing soft E - open sets, which are more general than of the paper is devoted to obtain some characterizations and essential properties concerning of these forms of soft open sets. This soft generalized separation axioms. Also, in particular we explore that the property of being soft E - Regular paces and soft E - Normal paces are soft topological properties under the bijection, E - irresolute soft and irresolute soft E - open mappings by soft E - open sets, and how that the properties of soft E-Ti - spaces(i 1, 2) are soft topological properties under the bijection and irresolute soft E - open mappings. Moreover, we are showing that the properties of being soft E - Ti - spaces(i 1, 2,3,4) are hereditary properties. We hope that our findings help the researchers to enhance and promote their studies on soft topology to carry out a general framework for their applications’ in real life situation.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0104409