Compactness and Lindelöfness using somewhere dense and $cs$-dense sets

Author:

M. Al-shami Tareq1,Noiri Takashi2

Affiliation:

1. Department of Mathematics, Sana'a University, Sana'a, Yemen

2. 2949-1 Shiokita-cho, Hinagu, Yatsushiro-shi, Kumamoto-ken, 869-5142 Japan

Publisher

Faculty of Sciences, University of Novi Sad

Subject

General Mathematics

Reference21 articles.

1. Abd El-Monsef, M. E., El-Deeb, S. N., and Mahmoud, R. A. β-open sets and β-continuous mappings. Bull. Fac. Sci. Assiut Univ. 12 (1983), 77–90.

2. Abd El-Monsef, M. E., Embaby, O. A., and El-Bably, M. K. Comparison between rough set approximations based on different topologies. International Journal of Granular Computing, Rough Sets and Intelligent Systems 3, 4 (2014), 292–305.

3. Abd El-Monsef, M. E., Kozae, A. M., and Iqelan, M. J. Near approximations in topological spaces. Int. J. Math. Anal. (Ruse) 4, 6 (2010), 279–290.

4. Abo-Tabl, E. A. On links between rough sets and digital topology. Appl. Math. 5 (2014), 941–948.

5. Al-shami, T. M. Somewhere dense sets and st1-spaces. Punjab Univ. J. Math. 49, 2 (2017), 101–111.

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