Weak Semi-Local Functions in Ideal Topological Spaces
Year 2019,
Volume: 11, 137 - 140, 30.12.2019
Ferit Yalaz
,
Aynur Keskin Kaymakcı
Abstract
In this study, we define the concept of weak semi-local functions by using semi-open sets and semi-closure operators in ideal topological spaces. We also introduce properties of weak semi-local functions and investigate the relationship between weak semi-local functions and predefined operators (local functions, semi-local functions, semi-closure local functions and local closure functions).
Supporting Institution
Tübitak
Thanks
The first author would like to thank TUBITAK(The Scientific and Technological Research
Council of Turkey) for their financial supports during his doctorate studies.
References
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Year 2019,
Volume: 11, 137 - 140, 30.12.2019
Ferit Yalaz
,
Aynur Keskin Kaymakcı
References
- Al-Omari, A., Noiri, T., {\em Local closure functions in ideal topological spaces}, Novi Sad J. Math., \textbf{43}(2013), 139--149.
- Crossley, S.G., Hildebrand S.K., {\em Semi-closure}, Texas J. Sci., \textbf{22}(1971), 99--112.
- Islam, M.M., Modak, S., {\em Second approximation of local functions in ideal topological spaces}, Acta Et Comment. Univ. Tart. De Math., \textbf{22}(2018), 245--255.
- Jankovic, D., Hamlet, T.R., {\em New topologies from old via ideals}. Amer. Math. Monthly, \textbf{97}(1990), 295--310.
- Khan, M., Noiri, T., {\em Semi-local functions in ideal topological spaces}, J. Adv. Res. Pure Math., \textbf{2}(2012), 36--42.
- Kuratowski, K., Topology I, Warszawa, 1933.
- Levin, N.,{\em Semi-open sets and semi-continuity in topological spaces}, Amer. Math. Mon., \textbf{70}(1963), 36--41.
- Vaidyanathswamy R., {\em The localisation theory in set topology}, Proc. Indian Acad. Sci.,\textbf{20}(1945), 51--61.
- Velicko, N.V., {\em H-closed topological spaces}, Amer. Math. Soc. Transl., \textbf{78}(1968), 103--118.