SOFT α-COMPACTNESS VIA SOFT IDEALS

Authors

  • A A Nasef Faculty of Engineering, Kafr El-Sheikh University, Kafr El-Sheikh,
  • A E Radwan Faculty of Science, Ain Shams University
  • F A Ibrahem Faculty of Science, Ain Shams University,
  • R B Esmaeel Ibn Al-Haitham College of Education, Baghdad University

DOI:

https://doi.org/10.24297/jam.v12i4.353

Abstract

In the present paper, we have continued to study the properties of soft topological spaces. We introduce new types of soft compactness based on the soft ideal Ĩ in a soft topological space (X, τ, E) namely, soft αI-compactness, soft αI-Ĩ-compactness, soft α-Ĩ-compactness, soft α-closed, soft αI-closed, soft countably α-Ĩ-compactness and soft countably αI-Ĩ-compactness. Also, several of their topological properties are investigated. The behavior of these concepts under various types of soft functions has obtained

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Author Biographies

  • A A Nasef, Faculty of Engineering, Kafr El-Sheikh University, Kafr El-Sheikh,
    Department of Physics and Engineering Mathematics
  • A E Radwan, Faculty of Science, Ain Shams University
    Department of Mathematics
  • F A Ibrahem, Faculty of Science, Ain Shams University,
    Department of Mathematics

     

  • R B Esmaeel, Ibn Al-Haitham College of Education, Baghdad University
    Department of Mathematics
JOURNAL OF ADVANCES IN MATHEMATICS

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Published

2016-05-30

Issue

Vol. 12 No. 4 (2016)

Section

Articles

License

Creative Commons License All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

SOFT α-COMPACTNESS VIA SOFT IDEALS. (2016). JOURNAL OF ADVANCES IN MATHEMATICS, 12(4), 6178-6184. https://doi.org/10.24297/jam.v12i4.353