Research Article

SOFT SEPARATION AXIOMS AND SOFT PRODUCT OF SOFT TOPOLOGICAL SPACES

Volume: 2 Number: 2 November 12, 2020
EN

SOFT SEPARATION AXIOMS AND SOFT PRODUCT OF SOFT TOPOLOGICAL SPACES

Abstract

In this article, we define a new type soft separation axioms using soft points on soft topological space and discuss the characterizations and properties of them. We extend these separation axioms to the soft product of soft topological spaces. Also we provide correct examples for the wrong examples example:1, example:2 and example:3 given in article [8].

Keywords

References

  1. Reference1 H. Aktas and N. Cagman, Soft sets and soft groups, Inf. Sci., 177(13) (2007) 2726 - 2735.
  2. Reference2 A. Aygunoglu and H. Aygun, Some notes on soft topological spaces, Neural Comput. Applic., 21(1) (2012) 113 - 119.
  3. Reference3 K.V. Babitha and J.J. Sunil, Soft set relations and functions, Comput. Math. Appl., 60 (2010) 1840 - 1849.
  4. Reference4 D.N. Georgiou and A.C. Megaritis, Soft set theory and topology, Appl. Gen. Topol., 15(1) (2014) 93 - 109.
  5. Reference5 O. Gocur and A. Kopuzlu, Some new properties of soft separation axioms, Ann. Fuzzy Math. Inform., 9(3) (2015) 421 - 429.
  6. Reference6 C. Gunduz Aras, A. Sonmez and H. Cakalli, An approach to soft functions, J. Math. Anal., 8(2) (2017) 129-138.
  7. Reference7 S. Hussain and B. Ahmad, Some properties of soft topological spaces, Comput. Math. Appl., 62(11) (2011) 4058 - 4067.
  8. Reference8 S. Hussain and B. Ahmad, Soft separation axioms in soft topological spaces, Hacet. J. Math. Stat., 44(3) (2015) 559 - 568.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

November 12, 2020

Submission Date

April 20, 2020

Acceptance Date

October 14, 2020

Published in Issue

Year 2020 Volume: 2 Number: 2

APA
Ramkumar, S., & Subbiah, V. (2020). SOFT SEPARATION AXIOMS AND SOFT PRODUCT OF SOFT TOPOLOGICAL SPACES. Maltepe Journal of Mathematics, 2(2), 61-75. https://doi.org/10.47087/mjm.723886
AMA
1.Ramkumar S, Subbiah V. SOFT SEPARATION AXIOMS AND SOFT PRODUCT OF SOFT TOPOLOGICAL SPACES. Maltepe Journal of Mathematics. 2020;2(2):61-75. doi:10.47087/mjm.723886
Chicago
Ramkumar, Solai, and Vinoth Subbiah. 2020. “SOFT SEPARATION AXIOMS AND SOFT PRODUCT OF SOFT TOPOLOGICAL SPACES”. Maltepe Journal of Mathematics 2 (2): 61-75. https://doi.org/10.47087/mjm.723886.
EndNote
Ramkumar S, Subbiah V (November 1, 2020) SOFT SEPARATION AXIOMS AND SOFT PRODUCT OF SOFT TOPOLOGICAL SPACES. Maltepe Journal of Mathematics 2 2 61–75.
IEEE
[1]S. Ramkumar and V. Subbiah, “SOFT SEPARATION AXIOMS AND SOFT PRODUCT OF SOFT TOPOLOGICAL SPACES”, Maltepe Journal of Mathematics, vol. 2, no. 2, pp. 61–75, Nov. 2020, doi: 10.47087/mjm.723886.
ISNAD
Ramkumar, Solai - Subbiah, Vinoth. “SOFT SEPARATION AXIOMS AND SOFT PRODUCT OF SOFT TOPOLOGICAL SPACES”. Maltepe Journal of Mathematics 2/2 (November 1, 2020): 61-75. https://doi.org/10.47087/mjm.723886.
JAMA
1.Ramkumar S, Subbiah V. SOFT SEPARATION AXIOMS AND SOFT PRODUCT OF SOFT TOPOLOGICAL SPACES. Maltepe Journal of Mathematics. 2020;2:61–75.
MLA
Ramkumar, Solai, and Vinoth Subbiah. “SOFT SEPARATION AXIOMS AND SOFT PRODUCT OF SOFT TOPOLOGICAL SPACES”. Maltepe Journal of Mathematics, vol. 2, no. 2, Nov. 2020, pp. 61-75, doi:10.47087/mjm.723886.
Vancouver
1.Solai Ramkumar, Vinoth Subbiah. SOFT SEPARATION AXIOMS AND SOFT PRODUCT OF SOFT TOPOLOGICAL SPACES. Maltepe Journal of Mathematics. 2020 Nov. 1;2(2):61-75. doi:10.47087/mjm.723886

Cited By

Creative Commons License
The published articles in MJM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

ISSN 2667-7660