
تعداد نشریات | 21 |
تعداد شمارهها | 610 |
تعداد مقالات | 9,028 |
تعداد مشاهده مقاله | 67,082,901 |
تعداد دریافت فایل اصل مقاله | 7,656,366 |
On $\mu$-L-closed, q-compact and q-Lindelöf spaces in generalized topological spaces | ||
International Journal of Nonlinear Analysis and Applications | ||
دوره 13، شماره 1، خرداد 2022، صفحه 3853-3859 اصل مقاله (422.09 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6181 | ||
نویسندگان | ||
Eman Almuhur* 1؛ Manal Al-Labadi2؛ Amani Shatarah3؛ Eman A. AbuHijleh4؛ Sarah Khamis5 | ||
1Department of Basic Science and Humanities, Faculty of Arts and Science, Applied Science Private University, Amman, Jordan | ||
2Department of Mathematics, Faculty of Arts and Sciences, University of Petra, Amman, Jordan | ||
3Department of Mathematics, Faculty of Science and Arts, Taibah University, Al-Madinah, Saudi Arabia | ||
4Basic Sciences Department, Al-Zarqa University College, Al-Balqa Applied University, Jordan | ||
5College of Commerce and Business, Lusail University, Doha, Qatar | ||
تاریخ دریافت: 14 آبان 1400، تاریخ بازنگری: 01 دی 1400، تاریخ پذیرش: 18 دی 1400 | ||
چکیده | ||
The research paper's main goal is to propose the notions of $\mu$-L-closed, $q$-compact and $q$-Lindelöf spaces in generalized topological spaces. A number of properties concerning those new spaces are investigated and the characteristics of mappings are explored. The traditional definitions and attributes of common generalized topological spaces are applied to the newly formed mathematical concept. | ||
کلیدواژهها | ||
$\mu$-L-closed space؛ GTS؛ $q$-compact؛ $\mu$-Lindelöf؛ $(\mu؛ \nu)$-continuous function | ||
مراجع | ||
[1] P. Alexandroff and P. Urysohn, M´emoire sur les espaces topologiques compacts, Verh Nederl Akad Wetensch Afd Natuurk, Amsterdam, Koninklijke Akademie van wetenschappen, 1929. [2] E. Almuhur and H. Hdeib, On pairwise L-closed spaces, J. Adv. Math. Comput. Sci. 30(4) (2019) 1–8. [3] E. Almuhur and M. Al-labadi, Pairwise strongly Lindelof, pairwise nearly, almost and weakly Lindel¨of bitopological spaces, WSEAS Trans. Math. 20(16) (2021) 152–158. [4] E. Almuhur, M. Al-Labadi, A. Shatarah, S. Khamis and N. Omar, Almost weakly and nearly L-closed topological spaces, Int. Conf. Inf. Technol. Proc. 2021, pp. 80–84. [5] A. Csaszar, Generalized open sets in generalized topologies, Acta Math. Hungar. 75 (1997) 65–87. [6] A. Csasz´r, Separation axioms for generalized topologies, Acta Math. Hungar. 104(12) (2004) 63–69. [7] A. Csaszar, Generalized open sets in generalized topologies, Acta Math. Hungar. 106(12) (2005) 53–66. [8] A. Csaszar, Further remarks on the formula for γ-interior, Acta Math. Hungar. 113(1) (2006) 325–332. [9] A. Csaszar, Remark on quasi-topologies, Acta Math. Hungar. 119(2) (2008) 197-200. [10] A. Cs´asz´ar, Product generalized topologies, Acta Math. Hungar. 123(1) (2009) 127–132. [11] S. Ganguly and C.K. Basu, Further characterizations of s-closed spaces, Indian J. Pure Appl. Math. 3(1) (1992) 635–641. [12] N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Month. 70(1) (1963) 36–41. [13] D. Maio and T. Noiri, On s-closed spaces, Indian J. Pure Appl. Math. 18(3) (1987) 226–233. [14] J. Makai, E. Peyghan and B. Samadi, Weak and strong structures and the T3.5 properties for generalized topological spaces, Acta Math. Hungar. 150(1) (2016) 1–35. [15] W.K. Min, Results on strong generalized neighborhood spaces, J. Korean Soc. Math. Educ. Ser. B, Pure Appl. Math. 15(3) (2008) 221–227. [16] W.K. Min, On strong generalized neighborhood systems and sg-open sets, Commun. Korean Math. Soc. 23(1) (2008) 125–131. [17] W.K. Min, A note on quasi-topological spaces, Honam Math. J. 33(1) (2011) 11–17. [18] T. Noiri, Unified characterizations for modifications of R0 and R1 topological spaces, Rend. Circ. Mat. Palermo 55(2) (2006) 29–42. [19] M. Sarsak, On µ−compact sets in µ−spaces, Questions Answers Gen. Topology 31(1) (2013) 49–57. [20] M. Sarsak, On semicompact sets and associated properties, Int. J. Math. Math. Sci. 2009(36) (2009) 1–9. [21] M. Sarsak, Weak separation axioms in generalized closed, Acta Math. Hungar. 131(1) (2011) 110–121. [22] B.K. Tyagi and R. Choudhary, On generalized closure operator in generalized topological spaces, Int. J. Comput. Appl. 82(15) (2016) 1–5. [23] B.K. Tyagi and H. Chauhan, On generalized closed sets in generalized topological spaces, Cubo 18(10) (2016) 27–45. [24] B.K. Tyagi and B.K. Chauhan, On Some Separation Axioms in Generalized Topological Spaces, Questions Answers Gen. Topology 36(1) (2018) 9–29. | ||
آمار تعداد مشاهده مقاله: 15,677 تعداد دریافت فایل اصل مقاله: 437 |