Nigh-Locally Compactness in Topological Spaces
Main Article Content
Abstract
The focus of this paper is the introduction of the notion of a nigh-locally compact topological space. To do this, concepts of "nigh-topological space" and "nigh-compact space" would be defined, and various conclusions and theorems would be derived. This would lead to a well-defined notion of a nigh-locally compact topological space, from which we would obtain a number of theorems and instances concerning this innovative idea.
Article Details
References
- 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.
- A.A. Hnaif, A.A. Tamimi, A.M. Abdalla, I. Jebril, A Fault-Handling Method for the Hamiltonian Cycle in the Hypercube Topology, Comp. Mater. Cont. 68 (2021), 505–519. https://doi.org/10.32604/cmc.2021.016123.
- 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.
- J. Swart, Total Disconnectedness in Bitopological Spaces and Product Bitopological Spaces, Indag. Math. (Proceedings) 74 (1971), 135–145. https://doi.org/10.1016/s1385-7258(71)80020-3.