On omega topological groups
DOI:
https://doi.org/10.5269/bspm.68189Resumo
In this paper by using $\omega$-open sets and $\omega$-continuity, we introduce and investigate the notions of $\omega$-topological groups and obtain several properties of $\omega$-topological groups.
Referências
1. S. Al Ghour and W. Zareer, Omega open sets in generalized topological spaces, J. Nonlinear Sci. Appl., 9 (2016), 3010–3017.
2. A. Al-Omari and H. Al-Saadi, On ω∗-connected spaces, Songklanakarin J. Sci. Technol., (42), No. 2 (2020), 280–283.
3. A. Al-Omari and Mohd Salmi Md Noorani, Regular Generalized ω-Closed Sets, Int. J. Math. Math. Sci., vol. 2007, Article ID 016292, 11 pages, 2007. https://doi.org/10.1155/2007/16292
4. A. Al-Omari and Mohd Salmi Md Noorani, Contra-ω-Continuous and Almost Contra-ω-Continuous, Int. J. Math. Math. Sci., vol. 2007, Article ID 040469, 13 pages, 2007. https://doi.org/10.1155/2007/40469
5. A. Al-Omari, T. Noiri and Mohd. Salmi Md. Noorani, Characterizations of Strongly Compact Spaces, Int. J. Math. Math. Sci., vol. 2009, Article ID 573038, 9 pages, 2009. https://doi.org/10.1155/2009/573038
6. A. Al-Omari, T. Noiri and Mohd. Salmi Md. Noorani, Weak and Strong Forms of ω-Continuous Functions, Int. J. Math. Math. Sci., vol. 2009, Article ID 174042, 12 pages, 2009. https://doi.org/10.1155/2009/174042
7. A. Al-Omari and Mohd. Salmi Md. Noorani, Decomposition of continuity via b-open aet, Bol. Soc. Paran. Mat., 26(1-2)(2008), 53-64.
8. k. Al-Zoubi, and B. Al-Nashef, The topology of ω-open subsets, Al-Manareh 9 (2) (2003), 169–179.
9. K. Al-Zoubi, On generalized ω-closed sets, Intern. J. Math. Math. Sci., 13 (2005), 2011-2021.
10. H. Z. Hdeib, ω-closed mappings, Rev. Colombiana Mat., 16 (1982), 65-78.
11. H. Z. Hdeib, ω-continuous functions, Dirasat J., 16 (1989), 136-153.
12. Higgins, Phillips J. An Introduction to Topological Groups. London: Cambridge University Press, 1974.
13. M. Hussain, M. Khan and C. Ozel, On generalized topological groups, Filomat, 27 (2013), 567–575.
14. M. Hussain, M. Khan and C. Ozel, More on generalized topological groups, Creative Mathematics and Informatics, 22 (2013), 47–51.
2. A. Al-Omari and H. Al-Saadi, On ω∗-connected spaces, Songklanakarin J. Sci. Technol., (42), No. 2 (2020), 280–283.
3. A. Al-Omari and Mohd Salmi Md Noorani, Regular Generalized ω-Closed Sets, Int. J. Math. Math. Sci., vol. 2007, Article ID 016292, 11 pages, 2007. https://doi.org/10.1155/2007/16292
4. A. Al-Omari and Mohd Salmi Md Noorani, Contra-ω-Continuous and Almost Contra-ω-Continuous, Int. J. Math. Math. Sci., vol. 2007, Article ID 040469, 13 pages, 2007. https://doi.org/10.1155/2007/40469
5. A. Al-Omari, T. Noiri and Mohd. Salmi Md. Noorani, Characterizations of Strongly Compact Spaces, Int. J. Math. Math. Sci., vol. 2009, Article ID 573038, 9 pages, 2009. https://doi.org/10.1155/2009/573038
6. A. Al-Omari, T. Noiri and Mohd. Salmi Md. Noorani, Weak and Strong Forms of ω-Continuous Functions, Int. J. Math. Math. Sci., vol. 2009, Article ID 174042, 12 pages, 2009. https://doi.org/10.1155/2009/174042
7. A. Al-Omari and Mohd. Salmi Md. Noorani, Decomposition of continuity via b-open aet, Bol. Soc. Paran. Mat., 26(1-2)(2008), 53-64.
8. k. Al-Zoubi, and B. Al-Nashef, The topology of ω-open subsets, Al-Manareh 9 (2) (2003), 169–179.
9. K. Al-Zoubi, On generalized ω-closed sets, Intern. J. Math. Math. Sci., 13 (2005), 2011-2021.
10. H. Z. Hdeib, ω-closed mappings, Rev. Colombiana Mat., 16 (1982), 65-78.
11. H. Z. Hdeib, ω-continuous functions, Dirasat J., 16 (1989), 136-153.
12. Higgins, Phillips J. An Introduction to Topological Groups. London: Cambridge University Press, 1974.
13. M. Hussain, M. Khan and C. Ozel, On generalized topological groups, Filomat, 27 (2013), 567–575.
14. M. Hussain, M. Khan and C. Ozel, More on generalized topological groups, Creative Mathematics and Informatics, 22 (2013), 47–51.
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2025-02-22
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Al-Omari, A. (2025). On omega topological groups. Boletim Da Sociedade Paranaense De Matemática, 43, 1-7. https://doi.org/10.5269/bspm.68189
