New Topologies via Weak N-Topological Open Sets and Mappings

M.lellis Thıvagar; Arockia Dasan

Research Article

New Topologies via Weak N-Topological Open Sets and Mappings

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

M.lellis Thıvagar , Arockia Dasan

https://izlik.org/JA23HZ33NK

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

https://izlik.org/JA23HZ33NK

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
Submission Date	February 15, 2018
Publication Date	December 30, 2019
IZ	https://izlik.org/JA23HZ33NK
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. https://izlik.org/JA23HZ33NK
AMA	1.Thıvagar M, Dasan A. New Topologies via Weak N-Topological Open Sets and Mappings. JNT. 2019;(29):49-57. https://izlik.org/JA23HZ33NK
Chicago	Thıvagar, M.lellis, and Arockia Dasan. 2019. “New Topologies via Weak N-Topological Open Sets and Mappings”. Journal of New Theory, nos. 29: 49-57. https://izlik.org/JA23HZ33NK.
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	[1]M. Thıvagar and A. Dasan, “New Topologies via Weak N-Topological Open Sets and Mappings”, JNT, no. 29, pp. 49–57, Dec. 2019, [Online]. Available: https://izlik.org/JA23HZ33NK
ISNAD	Thıvagar, M.lellis - Dasan, Arockia. “New Topologies via Weak N-Topological Open Sets and Mappings”. Journal of New Theory. 29 (December 1, 2019): 49-57. https://izlik.org/JA23HZ33NK.
JAMA	1.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, Dec. 2019, pp. 49-57, https://izlik.org/JA23HZ33NK.
Vancouver	1.M.lellis Thıvagar, Arockia Dasan. New Topologies via Weak N-Topological Open Sets and Mappings. JNT [Internet]. 2019 Dec. 1;(29):49-57. Available from: https://izlik.org/JA23HZ33NK

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