New Topologies via Weak N-Topological Open Sets and Mappings

M.lellis Thıvagar; Arockia Dasan

EN

New Topologies via Weak N-Topological Open Sets and Mappings

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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

M.lellis Thıvagar
India

Arockia Dasan ^* This is me
India

Publication Date

December 30, 2019

Submission Date

February 15, 2018

Acceptance Date

August 26, 2019

Published in Issue

Year 2019 Number: 29

IZ

https://izlik.org/JA23HZ33NK

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