Soft pre separation axioms and function with soft pre closed graph
Joint Authors
Khalaf, Ilyas B.
Ahmad, Nimat K.
Source
General Letters in Mathematics
Issue
Vol. 12, Issue 2 (30 Jun. 2022), pp.75-84, 10 p.
Publisher
Refaad Center for Studies and Research
Publication Date
2022-06-30
Country of Publication
Jordan
No. of Pages
10
Main Subjects
Abstract EN
Several notions on soft topology are studied and their basic properties are investigated by using the concept of soft pre open sets and soft pre closure operator which are derived from the basics of soft set theory established by Molodtsov [1].
In this paper we introduce some soft separation axioms called Soft pre R0 and soft pre R1 in soft topological spaces which are defined over an initial universe with a fixed set of parameters.
Many characterizations and properties of these spaces have been demonstrated.
Necessary and sufficient conditions for a soft topological space to be a soft pre Ri space for i = 0, 1 were also presented.
Furthermore, the concept of functions with soft pre closed graph and soft pre cluster set are defined.
Many results on these two concepts are proved.
Also, it is proved that a function has a soft pre closed graph if and only if its soft pre cluster set is degenerate.
American Psychological Association (APA)
Ahmad, Nimat K.& Khalaf, Ilyas B.. 2022. Soft pre separation axioms and function with soft pre closed graph. General Letters in Mathematics،Vol. 12, no. 2, pp.75-84.
https://search.emarefa.net/detail/BIM-1437680
Modern Language Association (MLA)
Ahmad, Nimat K.& Khalaf, Ilyas B.. Soft pre separation axioms and function with soft pre closed graph. General Letters in Mathematics Vol. 12, no. 2 (2022), pp.75-84.
https://search.emarefa.net/detail/BIM-1437680
American Medical Association (AMA)
Ahmad, Nimat K.& Khalaf, Ilyas B.. Soft pre separation axioms and function with soft pre closed graph. General Letters in Mathematics. 2022. Vol. 12, no. 2, pp.75-84.
https://search.emarefa.net/detail/BIM-1437680
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 213
Record ID
BIM-1437680