g ∆ ∗ µ −closed sets in generalized topological spaces

  • P. Jeyanthi Govindammal Aditanar College for Women
  • P. Nalayini Govindammal Aditanar College for Women
  • T. Noiri Yatsushiro College of Technology

Abstract

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.

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Author Biographies

P. Jeyanthi, Govindammal Aditanar College for Women

Head of the Department of Mathematics

P. Nalayini, Govindammal Aditanar College for Women

Assistant Professor

Department of Mathematics

T. Noiri, Yatsushiro College of Technology

Shiokita - choHinagu, Yatsushiro - shiKumamoto - ken, 869-5142 Japan

 

 

References

Roy, B. and Ekici, E., On (∧, μ)-closed sets in generalized topological spaces, Methods Funct. Anal. Topology, 17(2), 174-179, (2011).

Csaszar, A., Generalized open sets, Acta Math. Hungar., 75(1-2), 65-87, (1997).

Csaszar, A., Further remark on the formula for interior, Acta Math. Hungar., 113(4) , 325-332, (2006).

Csaszar, A., Generalized open sets in generalized topologies, Acta Math. Hungar., 106, 53-66, (2005).

Csaszar, A., − and −modifications of generalized topologies, Acta Math. Hungar., 120, 275-279, (2008).

Ekici, E. and Roy, B., New generalized topologies on generalized topological spaces due to Csaszar, Acta Math. Hungar., 132(1-2), 117-124, (2011).

Ekici, E., Generalized submaximal spaces, Acta Math. Hungar., 134(1-2), 132-138, (2012).

Jamunarani, R., Jeyanthi, P. and Velrajan, M., Generalized μ −closed sets in generalized topological spaces, J. Adv. Stud. Top., 4(3), 39-46, (2013).

Jeyanthi, P., Nalayini, P. and Noiri, T., μ- sets and ∇ μ- sets in generalized topological spaces, Georgian Math. J., 24(3), 403-407,

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).

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).

Published
2020-10-09
Section
Research Articles