Operation on $lak$-closed sets
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 $(i=0,1,2)$.
DOI :
Article Info :
Received : December 21, 2018; Accepted : February 11, 2019.
