Operation on $lak$-closed sets

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Authors :

S.M. Meenarani 1 *, K. Poorani 2 * and M. Anbuchelvi 3

Author Address :

1,3 Department of Mathematics, V.V.Vanniaperumal College for Women, Virudhunagar-626001, Tamil Nadu, India.

*Corresponding author.

Abstract :

This work is based on operation in a topological space. An operation has been extended to the class of $lak$-open sets. The new class of $ ama$-open sets has been introduced and two kinds of closures such as, $vive$ and $val$ are studied. Necessary basic properties have been derived. Moreover, $lak$-regular operation on $laks$ has been introduced in which intersection of any two $ ama$-closed sets is $ ama$-closed. Also three types of separation axioms are defined and few results on them have been derived.

Keywords :

$ ama$-open set, $vive$, $val$, $lak$-regular operation, $lak$-open operation, $ ama$-$T_i$ spaces $(i=0,1,2)$.



Article Info :

Received : December 21, 2018; Accepted : February 11, 2019.



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