I-Sequentially Connectedness
Öz
This study, first, focuses on understanding two important ideas in ideal topological spaces: I-sequential openness and I-sequential closedness. We start by explaining what these sets are like and how they behave. Then, we talk about their interiors and closures. After that, we look at how these sets relate to the idea of connectedness, which is a key concept in topology. We call this connection I-sequentially connectedness. This helps us understand how sets are connected in ideal topological spaces.
Anahtar Kelimeler
I-sequentially open set, I-sequentially topological space, I-sequentially connectedness
Kaynakça
- O. Mucuk, Topoloji ve Kategori. Nobel Yayınları. Ankara, 2010.
- R. Brown, Topology and Groupoids. Deganwy. United Kingdom, 2006.
- N. Levine, “Semi-Open Sets and Semi Continuity in Topological Spaces,” Amer. Math. Monthly, vol. 70, no. 1, pp. 36–41, 1963, doi: 10.1080/00029890.1963.11990039.
- O. Njastad, “On Some Classes of Nearly Open Sets,” Pacific J. Math., vol.15, no. 3, pp. 961–970, 1965.
- A. S. Mashhour, M. E. Abd El-Monsef, and S. N. El-Deeb, “On Pre-Continuous and Weak Pre-Continuous Mappings,” Proc. Math. Phys. Soc. Egypt, vol. 53, pp. 47–53, 1982.
- M. E. Abd El-Monsef, E. F. Lashien, and A. A. Nasef, “On I-Open Sets and I-Continuous Function,” Kyungpook Math. J., vol. 32, no.1, pp. 21–30, Jun.1992.
- K. Kuratowski, Topology, Volume I. Academic Press, New York, 1966.
- E. Hayashi, “Topologies Defined by Local Properties,” Math. Ann., vol. 156, pp. 205–215, Jun. 1964, doi:/10.1007/BF01363287.
- İ. Bukhatwa and S. Demiralp, “On Some Generalised Open Sets in Ideal Bitopological Spaces,” J. New Theory, vol. 32, pp. 1–10, Sep. 2020.
- S. Kılınç, “I-Connectedness,” J. New Theory, vol. 39, pp. 1–7, Jun. 2022, doi:10.53570/jnt.1104540.