Öz
In this writeup, we have discussed the role of ideals on $\sigma$-topological spaces. Using this idea, we have also studied and discussed two operators $()^{*\sigma}$ and $\psi_{\sigma}$. We have extended this concept to a new generalized set and investigated some basic properties of these concepts using $()^{*\sigma}$ and $\psi_{\sigma}$ operators.
Anahtar Kelimeler
$\sigma$-topological space $()^{*\sigma}$-operator $\psi_{\sigma}$-operator $\sigma$-compatible $\psi_{\sigma}$-C set
Destekleyen Kurum
NA
Proje Numarası
NA
Teşekkür
NA
Kaynakça
- Al-Omari, A., Noiri, T., On $\psi_*$-operator in ideal m-spaces, Bol. Soc. Paran. Mat., (3s.), 30(1) (2012), 53-66. https://doi.org/10.5269/bspm.v30i1.12787
- Al-Omari, A., Noiri, T., Corrigendum to on $\psi_*$-operator in ideal m-spaces, Bol. Soc. Paran. Mat., (3s.), 30(2) (2012), 119-119. https://doi.org/10.5269/bspm.v30i2.14925
- Al-Omari, A., Noiri, T., On operators in ideal minimal spaces, Mathematica, 58(81)(1-2) (2016), 3-13.
- Al-Saadi, H., Al-Omari, A., Some operators in ideal topological spaces, Missouri J. Math. Sci., 30(1) (2018), 59-71. https://doi.org/ 10.35834/mjms/1534384955
- Hamlett, T.R., Jankovi´c, D., Ideals in topological spaces and set operator $\psi$, Bull. U.M.I., 7(4-B) (1990), 863-874.
- Jankovic, D., Hamlett, T.R., New topologies from old via ideals, Amer. Math. Monthly, 97 (1990), 295-300. https://doi.org/10.1080/00029890.1990.11995593
- Kuratowski, K., Topology, Vol. 1, Academic Press, New York, 1966.
- Modak, S., Bandhyopadhyay, C., A note on $\psi$-operator, Bull. Malyas. Math. Sci. Soc., 30(1) (2007), 43-48.
- Modak, S., Mistry, S., Ideal on supra topological space, Int. Journal of Math. Analysis, 6(1) (2012), 1-10.
- Natkaniec, T., On I-continuity and I-semicontinuity points, Math. Slovaca, 36(3) (1986), 297- 312.
- Newcomb, R.L., Topologies Which are Compact Codulo an Ideal, Ph.D. Dissertation, Univ. of Cal. at Santa Barbara, 1967.
- Njastad, O., On some classes of nearly open sets, Pacific J. Math., 15(3) (1965), 961-970. https://doi.org/10.2140/pjm.1965.15.961
- Vaidyanathaswamy, R., Set Topology, Chelsea Publishing Co., New York, 1960.
Öz
Proje Numarası
NA
Kaynakça
- Al-Omari, A., Noiri, T., On $\psi_*$-operator in ideal m-spaces, Bol. Soc. Paran. Mat., (3s.), 30(1) (2012), 53-66. https://doi.org/10.5269/bspm.v30i1.12787
- Al-Omari, A., Noiri, T., Corrigendum to on $\psi_*$-operator in ideal m-spaces, Bol. Soc. Paran. Mat., (3s.), 30(2) (2012), 119-119. https://doi.org/10.5269/bspm.v30i2.14925
- Al-Omari, A., Noiri, T., On operators in ideal minimal spaces, Mathematica, 58(81)(1-2) (2016), 3-13.
- Al-Saadi, H., Al-Omari, A., Some operators in ideal topological spaces, Missouri J. Math. Sci., 30(1) (2018), 59-71. https://doi.org/ 10.35834/mjms/1534384955
- Hamlett, T.R., Jankovi´c, D., Ideals in topological spaces and set operator $\psi$, Bull. U.M.I., 7(4-B) (1990), 863-874.
- Jankovic, D., Hamlett, T.R., New topologies from old via ideals, Amer. Math. Monthly, 97 (1990), 295-300. https://doi.org/10.1080/00029890.1990.11995593
- Kuratowski, K., Topology, Vol. 1, Academic Press, New York, 1966.
- Modak, S., Bandhyopadhyay, C., A note on $\psi$-operator, Bull. Malyas. Math. Sci. Soc., 30(1) (2007), 43-48.
- Modak, S., Mistry, S., Ideal on supra topological space, Int. Journal of Math. Analysis, 6(1) (2012), 1-10.
- Natkaniec, T., On I-continuity and I-semicontinuity points, Math. Slovaca, 36(3) (1986), 297- 312.
- Newcomb, R.L., Topologies Which are Compact Codulo an Ideal, Ph.D. Dissertation, Univ. of Cal. at Santa Barbara, 1967.
- Njastad, O., On some classes of nearly open sets, Pacific J. Math., 15(3) (1965), 961-970. https://doi.org/10.2140/pjm.1965.15.961
- Vaidyanathaswamy, R., Set Topology, Chelsea Publishing Co., New York, 1960.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik, Uygulamalı Matematik |
| Bölüm | Research Article |
| Yazarlar | |
| Proje Numarası | NA |
| Yayımlanma Tarihi | 30 Eylül 2022 |
| Gönderilme Tarihi | 19 Aralık 2021 |
| Kabul Tarihi | 27 Nisan 2022 |
| Yayımlandığı Sayı | Yıl 2022 Cilt: 71 Sayı: 3 |
Kaynak Göster
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
