g ∆ ∗ µ −closed sets in generalized topological spaces
DOI:
https://doi.org/10.5269/bspm.39495Abstract
In this paper, we introduce some new classes of generalized closed
sets called ∆ ∗
µ −g− closed, ∆
∗
µ −g µ − closed and g ∆ ∗ µ − closed sets, which are related
to the classes of g µ − closed sets, g − λ µ − closed sets and λ µ − g− closed sets. We
investigate their properties as well as the relations among these classes of generalized
closed sets.
References
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5. Csaszar, A., − and −modifications of generalized topologies, Acta Math. Hungar., 120, 275-279, (2008).
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7. Ekici, E., Generalized submaximal spaces, Acta Math. Hungar., 134(1-2), 132-138, (2012).
8. Jamunarani, R., Jeyanthi, P. and Velrajan, M., Generalized μ −closed sets in generalized topological spaces, J. Adv. Stud. Top., 4(3), 39-46, (2013).
9. Jeyanthi, P., Nalayini, P. and Noiri, T., μ- sets and ∇ μ- sets in generalized topological spaces, Georgian Math. J., 24(3), 403-407,
10. Jeyanthi, P., Nalayini, P. and Noiri, T., ∧ μ- sets and ∨ μ- sets in generalized topological spaces, Bol. Soc. Paran. Mat. (3s), 35(1), 33-41, (2017).
11. Maragathavalli, S., Sheiljohn, M. and Sivaraj, D., On g-closed sets in generalized topological spaces, J. Adv. Res. Pure Appl. Math., 2, 57-64 (2010).
2. Csaszar, A., Generalized open sets, Acta Math. Hungar., 75(1-2), 65-87, (1997).
3. Csaszar, A., Further remark on the formula for interior, Acta Math. Hungar., 113(4) , 325-332, (2006).
4. Csaszar, A., Generalized open sets in generalized topologies, Acta Math. Hungar., 106, 53-66, (2005).
5. Csaszar, A., − and −modifications of generalized topologies, Acta Math. Hungar., 120, 275-279, (2008).
6. Ekici, E. and Roy, B., New generalized topologies on generalized topological spaces due to Csaszar, Acta Math. Hungar., 132(1-2), 117-124, (2011).
7. Ekici, E., Generalized submaximal spaces, Acta Math. Hungar., 134(1-2), 132-138, (2012).
8. Jamunarani, R., Jeyanthi, P. and Velrajan, M., Generalized μ −closed sets in generalized topological spaces, J. Adv. Stud. Top., 4(3), 39-46, (2013).
9. Jeyanthi, P., Nalayini, P. and Noiri, T., μ- sets and ∇ μ- sets in generalized topological spaces, Georgian Math. J., 24(3), 403-407,
10. Jeyanthi, P., Nalayini, P. and Noiri, T., ∧ μ- sets and ∨ μ- sets in generalized topological spaces, Bol. Soc. Paran. Mat. (3s), 35(1), 33-41, (2017).
11. Maragathavalli, S., Sheiljohn, M. and Sivaraj, D., On g-closed sets in generalized topological spaces, J. Adv. Res. Pure Appl. Math., 2, 57-64 (2010).
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Published
2020-10-09
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