On semi-weakly D-compactness
Abstract
In this paper, we introduce semi-weakly D-compactness, continuous mapping properties, and some characterization of semi-weakly D-compact space. First, we present a special type of cover called a semi-weakly-D open cover by using a difference set (D-set), and several semi-weakly-D mapping properties are studied. Then, we investigate the image of these spaces under semi-weakly-D mappings and study their relationship with other spaces. Furthermore, We derive some findings which connect some generalized Dcompact spaces and we give some sufficient conditions which guarantee that any locally indiscrete weakly D-compact space is semi-weakly D-compact.
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References
A. Adam Hassan, Semi Generalized Open Sets and Generalized Semi Closed Sets in Topological Spaces, Journal of Analysis and Applications, 18 (2020), 1029-1036.
C. Patel, P. Jha and M. Verma, Weakly-D separation axioms in topological spaces, Proceedings of 4th Prof. P. C. Vaidya International Conference on Mathematical Sciences, (2023), 269–273.
C. Patel, P. Jha and M. Verma, On sw f-D Sets and its Associated Properties, Advances in Nonlinear Variational Inequalities, 28 (5s) (2025), 493–500.
F. Bani-Ahmad, O. Alsayyed and A. A. Atoom, Some new results of difference perfect functions in a topological spaces, AIMS Mathematics, 7 (11) (2022), 20058–20065.
H. Qoqazeh, H. Hdeib and E. A. Osba, On D-meta-Compactness in bio topological spaces, Jordan Journal of Mathematics and Statistics, 11 (4) (2018), 345–361.
H. Qoqazeh, Y. Al-Qudah, M. Almousa and A. Jaradat, On D-Compact Topological Spaces, Journal of Applied Mathematics and Informatics, 39 (5-6) (2021), 883–894.
J. L. Kelley, General topology, Courier Dover Publications, (2017).
J. Tong, A separation axiom between T0 and T1, Ann. Soc. Sci. Bruxelles, 96 (1982), 85–90.
M. Caldas, A separation axiom between semi-T0 and semi-T1, Pro Mathematica, 11 (1997), 21–22.
M. S. Sarsak, On semi-compact sets and associated properties, International Journal of Mathematics and Mathematical Sciences, 8 (2009).
M. E. Abd El-Monsef and A. M. Kozae, Some generalized forms of compactness and closedness, Delta Journal of Science, 9 (2) (1985), 257–259.
M. Raman-Sundstrom, A Pedagogical history of compactness, The American Mathematical Monthly, 122 (4) (2015), 619–635.
N. Levine, Semi-open sets and semi-continuity in topological spaces, American Mathematical Monthly, 70 (1963), 36–41.
P. Jha, C. Patel and M. Verma, Weakly D-compact Topological Space, Proceeding in International Conference, Roll of Applied Science in Social Implications (IC-RASSI-2023), D (2023), 30–32.
R. S. Wali and B. B. Mathad, Semi-regular-weakly-open sets in topological spaces, International Journal of Innovative Technology and Exploring Engineering (IJITEE), 37 (1) (2016), 36–43.
S. Mishra and M. Aaliya, Applications of Topology in Science and Technology, International Journal of Research and Analytical Reviews, 5 (4) (2018), 101–104.
T. M. Al-shami, H. Isik, A. S. Nawar and R. A. Hosny, Some topological approaches for generalized rough sets via ideals, Math. Prob. Eng., (2011), 1–11.
T. M. Al-Shami, Supra semi-open sets and some applications on topological spaces, Journal of Advanced Studies in Topology, 8 (2017), 144–153.
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