g* λµ- closed sets ingeneralized topological spaces
DOI:
https://doi.org/10.5269/bspm.v34i1.25102Keywords:
Generalized topology, λµ closed, *λµ- closed, *λµ -g-closed, *λµ -gµ - closed, g*λµ- closed setsAbstract
In this paper we introduce some new classes of generalized closed sets called *λµ -g-closed, *λµ -g µ -closed and g* λµ -closed sets in generalized topological spaces, which are related to the classes of gµ -closed sets, g-λµ -closed sets and λµ -g-closed sets. We investigate the properties of the newly introduced classes, as well as the connections among the above mentioned classes of generalized closed sets. Also, we give a unified framework for the study of several types of generalized closed sets in a space endowed with two generalized topologies.
References
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2. A .Csaszar, Generalized open sets, Acta Math.Hungar., 75(1-2) (1997), 65-87.
3. A. Csaszar, Further remark on the formula for -interior, Acta Math.Hungar., 113(4):(2006), 325-332.
4. A.Csaszar, Generalized open sets in generalized topologies, Acta Math.Hungar., 2005, 106(53-66).
5. A. Csaszar, - and - modifications of generalized topologies, Acta Math.Hungar., 120 (2008), 275-279.
6. E. Ekici and B. Roy , New generalized topologies on generalized topological spaces due to Csaszar, Acta Math.Hungar., 132(1-2) (2011),117-124.
7. E. Ekici, Generalized submaximal spaces, Acta Math.Hungar., 134(1-2) (2012),132-138.
8. A. Ghareeb and T. Noiri, ^-generalized closed sets in bitopological spaces, Journal of Egyptian Mathematical Society., 19 (2011) 142-145.
9. R. Jamunarani, P. Jeyanthi and M. Velrajan, Generalized µ-closed sets in Generalized Topological Spaces, Journal of Advance Studies in Topology, Vol 4, No 3, 2013, 39-46.
10. P. Jeyanthi and P. Nalayini, ^µ- sets and _µ- sets in Generalized Topological Spaces., (Communicated).
11. S. Maragathavalli, M. Sheiljohn and D. Sivaraj, On g-closed sets in generalized topological spaces., Journal of Advanced Research in Pure Mathematics, Vol 2, 2010, (57-64).
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Published
2015-04-24
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