On Semi-Weakly-D Compactness

  • Chuleshwar Patel Govt. J. Yoganandam Chhattisgarh College Raipur (C.G.)-492001
  • Purushottam Jha
  • Manju Verma

Resumen

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 semiweakly-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 D-compact spaces and we give some sufficient conditions which guarantee that any locally indiscrete weakly-D compact space is semi-weakly-D compact.

Descargas

La descarga de datos todavía no está disponible.

Citas

[1] A. Adam Hassan, Semi Generalized Open Sets and Generalized Semi Closed Sets in Topological
Spaces. Journal of Analysis and Applications 18 (2020), 1029-1036, doi:10.28924/2291-
8639-18-2020-1029.
[2] 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.
[3] C. Patel, P. Jha and M. Verma, On sw-D Sets and its Associated Properties,
Advances in Nonlinear Variational Inequalities 28 5s (2025), 493–500,
doi:https://doi.org/10.52783/anvi.v28.3917.
[4] 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,
doi:10.3934/math.20221097.
[5] 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,
doi:10.12732/ijpam.v119i1.16.
[6] 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,
doi:10.14317/jami.2021.883.
[7] J. L. Kelley, General topology, Courier Dover Publications (2017),
doi:https://lccn.loc.gov/2016040931.
[8] J. Tong, A separation axiom between T0 and T1, Ann. Soc. Sci. Bruxelles 96 (1982), 85–90,
doi:10.1016/S1385-7258(62)50003-6.
[9] M. Caldas, A separation axiom between semi-T0 and semi-T1, Pro Mathematica 11 (1997),
21–22, doi:https://revistas.pucp.edu.pe/index.php/promathematica/article/view/6090.
[10] M. S. Sarsak, On semi-compact sets and associated properties, International Journal of
Mathematics and Mathematical Sciences 8 (2009), doi:doi:10.1155/2009/465387.
[11] 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,
doi:https://www.researchgate.net/publication/282112768.
[12] M. Raman-Sundstrom, A Pedagogical history of compactness, The American Mathematical
Monthly 122(4)(2015),619–635,doi:https://doi.org/10.4169/amer.math.monthly.122.7.619.
[13] N. Levine, Semi-open sets and semi-continuity in topological spaces, American Mathematical
Monthly 70 (1963), 36–41, doi:10.1080/00029890.1963.11990039.
[14] P. Jha, C. Patel and M. Verma, Separation Axioms on weakly-D open sets, Proceeding in
International Conference, Roll of Applied Science in Social Implications (IC-RASSI-2023)
D (2023), 30–32,doi:https://probecell.com/books.
[15] 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, doi:https://doi.org/10.14445/22315373/IJMTT-V37P506.
[16] S. Mishra and M. Aaliya, Applications of Topology in Science and Technology,
International Journal of Research and Analytical Reviews, 5(4) (2018), 101–104,
doi:https://www.researchgate.net/publication/343635292 Applications of Topology in Science
and Technology.
[17] 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, doi:10.1115/2021/5642982.
[18] T. M. Al-Shami, Supra semi-open sets and some applications on topological
spaces, Journal of Advanced Studies in Topology 8 (2017), 144–153,
doi:http://dx.doi.org/10.20454/jast.2017.1335.
Publicado
2025-08-11
Sección
Research Articles