EN
Role of ideals on $\sigma$-topological spaces
Abstract
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.
Keywords
- $\sigma$-topological space
- $()^{*\sigma}$-operator
- $\psi_{\sigma}$-operator
- $\sigma$-compatible
- $\psi_{\sigma}$-C set
Supporting Institution
NA
Project Number
NA
Thanks
NA
References
- 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.
Details
Primary Language
English
Subjects
Mathematical Sciences, Applied Mathematics
Journal Section
Research Article
Authors
Publication Date
September 30, 2022
Submission Date
December 19, 2021
Acceptance Date
April 27, 2022
Published in Issue
Year 2022 Volume: 71 Number: 3
APA
Mıah, C., Islam, M. M., Modak, S., & Mistry, S. (2022). Role of ideals on $\sigma$-topological spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 71(3), 870-883. https://doi.org/10.31801/cfsuasmas.1038097
AMA
1.Mıah C, Islam MM, Modak S, Mistry S. Role of ideals on $\sigma$-topological spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022;71(3):870-883. doi:10.31801/cfsuasmas.1038097
Chicago
Mıah, Chhapikul, Md. Monirul Islam, Shyamapada Modak, and Sukalyan Mistry. 2022. “Role of Ideals on $\sigma$-Topological Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71 (3): 870-83. https://doi.org/10.31801/cfsuasmas.1038097.
EndNote
Mıah C, Islam MM, Modak S, Mistry S (September 1, 2022) Role of ideals on $\sigma$-topological spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71 3 870–883.
IEEE
[1]C. Mıah, M. M. Islam, S. Modak, and S. Mistry, “Role of ideals on $\sigma$-topological spaces”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 71, no. 3, pp. 870–883, Sept. 2022, doi: 10.31801/cfsuasmas.1038097.
ISNAD
Mıah, Chhapikul - Islam, Md. Monirul - Modak, Shyamapada - Mistry, Sukalyan. “Role of Ideals on $\sigma$-Topological Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71/3 (September 1, 2022): 870-883. https://doi.org/10.31801/cfsuasmas.1038097.
JAMA
1.Mıah C, Islam MM, Modak S, Mistry S. Role of ideals on $\sigma$-topological spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022;71:870–883.
MLA
Mıah, Chhapikul, et al. “Role of Ideals on $\sigma$-Topological Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 71, no. 3, Sept. 2022, pp. 870-83, doi:10.31801/cfsuasmas.1038097.
Vancouver
1.Chhapikul Mıah, Md. Monirul Islam, Shyamapada Modak, Sukalyan Mistry. Role of ideals on $\sigma$-topological spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022 Sep. 1;71(3):870-83. doi:10.31801/cfsuasmas.1038097
