≈g(1,2)* - Continuous Maps

R.Vasanthi

doi:https://doi.org/10.14445/22315373/IJMTT-V62P501

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 62 | Number 1 | Year 2018 | Article Id. IJMTT-V62P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V62P501

≈g(1,2)* - Continuous Maps

R.Vasanthi

Abstract

This research introduced generalized closed sets in general topology as a generalization of closed sets. This concept was found to be useful and many results in general topology were improved. Many researchers introduced ĝ-closed sets in topological spaces. In this paper, we discussed a new class of sets namely  g(1,2)*-closed sets in bitopological spaces. This class lies between the class of 1,2-closed sets and the class of (1,2)*-ĝ-closed sets. The notion of  g(1,2)*-interior is defined and some of its basic properties are studied. Also we introduce the concept of  g(1,2)*-closure in bitopological spaces using the notion of  g(1,2)*-closed sets, and we obtain some related results. For any A  X, it is proved that the complement of  g(1,2)*-interior of A is the  g(1,2)*-closure of the complement of A.

Keywords

Bitopological spaces, Continuous Maps, Closed Sets.

References

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Citation :

R.Vasanthi, "≈g(1,2)* - Continuous Maps," International Journal of Mathematics Trends and Technology (IJMTT), vol. 62, no. 1, pp. 1-7, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V62P501