REVIEW OF  WπGR CLOSED SETS IN TOPOLOGICAL SPACES

SREENA  S. R; DR. SATHEESH  E. N; DR.VARUGHESE  MATHEW

doi:10.24297/jam.v23i.9600

Authors

SREENA S. R Department of Mathematics ,Mar Thoma College ,Thiruvalla
DR. SATHEESH E. N Department of Mathematics ,Mar Thoma College ,Thiruvalla
DR.VARUGHESE MATHEW Department of Mathematics ,Mar Thoma College ,Thiruvalla

DOI:

https://doi.org/10.24297/jam.v23i.9600

Keywords:

πgr –closed sets, wπgr –open sets, wπgr –closed sets

Abstract

In this paper we introduce a new class of sets called weakly π generalized regular closed (wπgr closed) sets. A subset A of X is called wπgr closed set if cl( int A) ⊆U whenever A⊆U and U is πgr open in X. The complement of wπgr-closed set is called wπgr-open set in X. We denote the family of all wπgr closed sets in X by wπGRC(X) and wπgr open sets in X by wπGRO(X))

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References

(1) Absanabanu,K & Pasunkilipandian,S.(2017). On b# generalized Closed Sets in Topological Spaces .International Journalof Mathematical Archive,8(5), 35-40.

(2) Alli,K.(2015). gp-closed sets in a topological space.International journal of mathematical archieve ,6(9),22-27.

(3) Andrijevic,D. (1996) .On b-open sets.Mat.Vesnik, 48,59-65.

(4) Elvina Mary.L(2014), (gs)*-closed sets in topological spaces, International Journal of Mathematics Trends and Technology,(7) 83-93

(5) Levine,N.(1970). Generalized closed sets in topology.Rend .circ. Mat.Palermo,19,89-96.

(6) Murugavalli, N & Pushpalatha ,A. ( September 2015). τ*- gλ– Closed Sets in Topological Spaces. International Journal of Computer Applications. 125, 14 , 28-32. DOI=10.5120/ijca2015906266

(7) Mashour,A.S; Abd El-Monsef & El.Deeb,S.N .(1981). On pre-continuous and weak pre-continuous mappings .Proc.Math.Phys..Soc.Egypt ,31,47-53.

(8) Usha Parameswari,R & Thangavelu,P .( 2014) .On b#-open sets. International Journal of Mathematics Trends and Technology, 3 (5), 202-218.

(9) Vidhya,D & Parimelazhagan ,R .(2012).g*b closed sets in topological spaces .Int.J.Contemp.Math.Sciences, 7,1305-1312.

(10) Vithya,N & Thangavelu,P .(2016). Generalization of b-closed Sets. International Journal of Pure and Applied Mathematics ,Vol 106(6) , 93-102 .

(11) Wali,R.S & Nirani Laxmi,(2016). On Regular Mildly Generalized (RMG)-closed sets in topological spaces .International Journal of Mathematical Archive, 7 (7), 108 – 114.

(12) Wali,R.S & Nirani Laxmi.(2016). On Regular Mildly Generalized (RMG)-open sets in topological spaces. IOSR Journal of Mathematics ,12(4), 93 – 100.