Öz
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).
Anahtar Kelimeler
ideal topological space local function semi-local function semi-closure local function weak semi-local function.
Destekleyen Kurum
Tübitak
Teşekkür
The first author would like to thank TUBITAK(The Scientific and Technological Research Council of Turkey) for their financial supports during his doctorate studies.
Kaynakça
- 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.
Öz
Kaynakça
- 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.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Makaleler |
| Yazarlar | |
| Yayımlanma Tarihi | 30 Aralık 2019 |
| Yayımlandığı Sayı | Yıl 2019 Cilt: 11 |
