Novel Results on Nigh Lindelöfness in Topological Spaces
Main Article Content
Abstract
The main objective of this research paper is to introduce the concept of nigh Lindelöfness in topological spaces and nigh topological spaces. This has led us to establish several generalizations and properties of nigh Lindelöf space that are related to the nearly nigh Lindelöf space, the nigh compactness in topological spaces, and their relations with other spaces. Several examples are discussed, and many well-known theorems are generalized concerning the nigh Lindelöf spaces.
Article Details
References
- J. Oudetallah, I.M. Batiha, Mappings and Finite Product of Pairwise Expandable Spaces, Int. J. Anal. Appl. 20 (2022), 66. https://doi.org/10.28924/2291-8639-20-2022-66.
- R. Alharbi, J. Oudetallah, M. Shatnawi, I.M. Batiha, On c-Compactness in Topological and Bitopological Spaces, Mathematics 11 (2023), 4251. https://doi.org/10.3390/math11204251.
- J. Oudetallah, N. Abu-Alkishik, I.M. Batiha, Nigh-Open Sets in Topological Space, Int. J. Anal. Appl. 21 (2023), 83. https://doi.org/10.28924/2291-8639-21-2023-83.
- J. Oudetallah, R. Alharbi, I.M. Batiha, On r-Compactness in Topological and Bitopological Spaces, Axioms 12 (2023), 210. https://doi.org/10.3390/axioms12020210.
- J. Oudetallah, I.M. Batiha, On Almost Expandability in Bitopological Spaces, Int. J. Open Probl. Comp. Sci. Math. 14 (2021), 43–48.
- J. Oudetallah, M.M. Rousan, I.M. Batiha, On D-Metacompactness in Topological Spaces, J. Appl. Math. Inf. 39 (2021), 919–926. https://doi.org/10.14317/JAMI.2021.919.
- J.C. Kelly, Bitopological Spaces, Proc. LondonMath. Soc. s3-13 (1963), 71–89. https://doi.org/10.1112/plms/s3-13.1.71.
- T.C.K. Raman, On Generalized b-Closed Sets In Bitopological Spaces, Int. J. Sci. Eng. Techn. 5 (2016), 124–127.
- N. Levine, Semi-Open Sets and Semi-Continuity in Topological Spaces, The Amer. Math. Mon. 70 (1963), 36–41. https://doi.org/10.1080/00029890.1963.11990039.
- M.C. Datta, Projective Bitopological Spaces, J. Aust. Math. Soc. 13 (1972), 327–334. https://doi.org/10.1017/s1446788700013744.
- J. Oudetallah, Nearly Expandability in Bitopological Spaces, Adv. Math., Sci. J. 10 (2020), 705–712. https://doi.org/10.37418/amsj.10.2.2.
- P. Fletcher, H.B. Hoyle, III, C.W. Patty, The Comparison of Topologies, Duke Math. J. 36 (1969), 325–331. https://doi.org/10.1215/s0012-7094-69-03641-2.
- Y.W. Kim, Pairwise Compactness, Publ. Math. Debrecen 15 (2022), 87–90. https://doi.org/10.5486/pmd.1968.15.1-4.12.
- I.L. Reilly, Bitopological Local Compactness, Indag. Math. (Proceedings) 75 (1972), 407–411. https://doi.org/10.1016/1385-7258(72)90037-6.