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New Topologies via Weak N-Topological Open Sets and Mappings

Year 2019, Issue: 29, 49 - 57, 30.12.2019

M.lellis Thıvagar , Arockia Dasan

Abstract

One of the objectives of this paper is to introduce some weak N-topological open sets. We characterize N-topological continuous, N*-quotient, N*-α quotient and N*-semi quotient mappings and derive some new topologies with suitable examples.

Keywords

N-topology Nτα-open Nτ semi-open Nτ pre-open Nτβ-open

References

  • N. Levine, Semi-Open Sets and Semi-Continuity in Topological Spaces, The American Mathematical Monthly 70 (1963) 36-41.
  • O. Njastad, On Some Classes of Nearly Open Sets, Pacific Journal of Mathematics 15 (1965) 961-970.
  • A. S. Mashhour, M. E. Abd El-Monsef, S. N. El-Deeb, On Pre Continuous and Weak Pre Continuous mappings, Proceedings of the Mathematical and Physical Society of Egypt 53 (1982) 47-53.
  • D. Andrijevic, Semi-Preopen Sets, Matematički Vesnik 38(1) (1986) 24-32.
  • M. L. Thivagar, V. Ramesh, M. A. Dasan, On New Structure of N-Topology, Cogent Mathematics (Taylor and Francise) 3 (2016) 1-10.
  • I. L. Reilly, M. K. Vamanamurthy, On α Sets in Topological Spaces, Tamkang Journal of Mathematics 16 (1985) 7-11.

Year 2019, Issue: 29, 49 - 57, 30.12.2019

M.lellis Thıvagar , Arockia Dasan

Abstract

References

  • N. Levine, Semi-Open Sets and Semi-Continuity in Topological Spaces, The American Mathematical Monthly 70 (1963) 36-41.
  • O. Njastad, On Some Classes of Nearly Open Sets, Pacific Journal of Mathematics 15 (1965) 961-970.
  • A. S. Mashhour, M. E. Abd El-Monsef, S. N. El-Deeb, On Pre Continuous and Weak Pre Continuous mappings, Proceedings of the Mathematical and Physical Society of Egypt 53 (1982) 47-53.
  • D. Andrijevic, Semi-Preopen Sets, Matematički Vesnik 38(1) (1986) 24-32.
  • M. L. Thivagar, V. Ramesh, M. A. Dasan, On New Structure of N-Topology, Cogent Mathematics (Taylor and Francise) 3 (2016) 1-10.
  • I. L. Reilly, M. K. Vamanamurthy, On α Sets in Topological Spaces, Tamkang Journal of Mathematics 16 (1985) 7-11.
There are 6 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

M.lellis Thıvagar

Arockia Dasan This is me

Publication Date December 30, 2019
Submission Date February 15, 2018
Published in Issue Year 2019 Issue: 29

Cite

APA Thıvagar, M., & Dasan, A. (2019). New Topologies via Weak N-Topological Open Sets and Mappings. Journal of New Theory(29), 49-57.
AMA Thıvagar M, Dasan A. New Topologies via Weak N-Topological Open Sets and Mappings. JNT. December 2019;(29):49-57.
Chicago Thıvagar, M.lellis, and Arockia Dasan. “New Topologies via Weak N-Topological Open Sets and Mappings”. Journal of New Theory, no. 29 (December 2019): 49-57.
EndNote Thıvagar M, Dasan A (December 1, 2019) New Topologies via Weak N-Topological Open Sets and Mappings. Journal of New Theory 29 49–57.
IEEE M. Thıvagar and A. Dasan, “New Topologies via Weak N-Topological Open Sets and Mappings”, JNT, no. 29, pp. 49–57, December 2019.
ISNAD Thıvagar, M.lellis - Dasan, Arockia. “New Topologies via Weak N-Topological Open Sets and Mappings”. Journal of New Theory 29 (December 2019), 49-57.
JAMA Thıvagar M, Dasan A. New Topologies via Weak N-Topological Open Sets and Mappings. JNT. 2019;:49–57.
MLA Thıvagar, M.lellis and Arockia Dasan. “New Topologies via Weak N-Topological Open Sets and Mappings”. Journal of New Theory, no. 29, 2019, pp. 49-57.
Vancouver Thıvagar M, Dasan A. New Topologies via Weak N-Topological Open Sets and Mappings. JNT. 2019(29):49-57.
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