Volume 21, Issue 2 (9-2026)
IJMSI 2026, 21(2): 129-136 |
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Sarkar S, Bal P, Rakshit D. On Statistical Compactness. IJMSI 2026; 21 (2) :129-136
URL: http://ijmsi.ir/article-1-2331-en.html
URL: http://ijmsi.ir/article-1-2331-en.html
Abstract:
In the search of a topological property which lies somewhere between compactness and Lindelöfness, we introduce the concept of statistical compactness in this paper. We have also searched for the preservation of statistical compactness under sub-space topology and open continuous surjection. Some finite intersection like properties are also addressed here.
Type of Study: Research paper |
Subject:
General
References
1. P. Bal, S. Bhowmik, On R-Star-Lindel¨of Spaces, Palest. J. Math., 6(2), (2017), 480-486.
2. P. Bal, S. Bhowmik, D. Gauld, On Selectively Star-Lindel¨of Properties, J. Indian Math. Soc., 85(3-4), (2018), 291-304. [DOI:10.18311/jims/2018/20145]
3. P. Bal, Lj. D. R. Koˇcinac, On Selectively Star-ccc Spaces, Topology Appl., 281, (2020), 107184. [DOI:10.1016/j.topol.2020.107184]
4. P. Bal, D. Rakshit, A Variation of the Class of Statistical γ-Covers, Topol. Algebra Appl., 11, (2023), 20230101. [DOI:10.1515/taa-2023-0101]
5. P. Bal, R. De, On Strongly Star Semi-compactness of Topological Spaces, Khayyam J. Math., 9, (2023), 54-60.
6. P. Bal, On the Class of I-γ Open Cover and I-St-γ Open Covers, Hacettepe J. Math., 52(3), (2023), 630-639.
7. P. Bal, S. Sarkar, On Strongly Star g-compactness of Topological Spaces, Tatra Mt. Math. Publ., 85, (2023), 89-100. [DOI:10.2478/tmmp-2023-0026]
8. S. Debnath, D. Rakshit, On I-Statistical Convergence, Iran. J. Math. Sci. Inform, 13(2), (2018), 101-109.
9. R. Engelking, General Topology, Sigma Series in Pure Mathematics, Revised and complete ed. Berlin: Heldermann., 1989.
10. H. Fast, Sur la Convergence Statistique, Colloq. Math., 2, (1951), 241-244. [DOI:10.4064/cm-2-3-4-241-244]
11. J. A. Fridy, On Statistical Convergence, Analysis, 5, (1985), 301-313. [DOI:10.1524/anly.1985.5.4.301]
12. M. G¨urdal, A. S¸ahiner, I. A¸cik, Approximation Theory in 2-Banach Spaces, Nonlinear Anal., 71(5-6), (2009), 1654-1661. [DOI:10.1016/j.na.2009.01.030]
13. M. G¨urdal, M. B. Huban, On I-convergence of Double Sequences in the Topology Induced by Random 2-norms, Mat. Vesnik, 66(1), (2014), 73-83.
14. L. D. R. Koˇcinac, S. Singh, On the Set Version of Selectively Star-ccc Spaces, Journal of Mathematics, 2020, (2020), 9274503. [DOI:10.1155/2020/9274503]
15. G. Di Maio, Lj. D. R. Koˇcinak, Statistical Convergence in Topology, Topology Appl., 156, (2008), 28-45. [DOI:10.1016/j.topol.2008.01.015]
16. M. Mursaleen, S. Debnath, D. Rakshit, I Statistical Limit Superior & I Statistical limit Inferior, Filomat, 31(7), (2012), 2103-2108. [DOI:10.2298/FIL1707103M]
17. E. Sava¸s, M. G¨urdal, A Generalized Statistical Convergence in Intuitionistic Fuzzy Normed Spaces, Scienceasia, 41(4), (2015), 298-294. [DOI:10.2306/scienceasia1513-1874.2015.41.289]
18. I. J. Schoenberg, Integrability of Certain Functions and Related Summability Methods, Amer. Math. Monthly, 66, (1959), 361-375. [DOI:10.1080/00029890.1959.11989303]
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