|
Volume : I, Issue : V, June - 2011 On closed sets in Topological Spaces L.Vijilius Helena Raj, S.Pious Missier DOI : 10.9780/22307850, Published By : Laxmi Book Publication Abstract : In 1970, the study of so called g-closed set that is, the closed sets and g-closed sets
coincide was introduced. The notion has been studied extensively in recent years by many
topologies because g-closed sets are not only a natural generalization of closed sets. More
importantly, some of these have been found to be useful in computer Science and digital
topology. So the study of
g-closed sets will give the possible applications in computer graphics [16]. A subset A of
a topological space (X,) is g-closed set if the closure of A is included in every open
superset of A is initiated by Levine Keywords : Article : Cite This Article : L.Vijilius Helena Raj, S.Pious Missier, (2011). On closed sets in Topological Spaces. Indian Streams Research Journal, Vol. I, Issue. V, DOI : 10.9780/22307850, http://oldisrj.lbp.world/UploadedData/317.pdf References : - Dontchev J, Maki H. On behavior of gp-closed sets and their generalizations. Mem Fac Sci Kochi Univ Ser A (Math) 1998;19:57–72
- G. Aslim, A.Caksu Guler and T. Noiri, On
- Gnanambal Y. On generalized preregualr closed sets in topological spaces. Indian J Pure Math 1997;28(3):351–60.
- J. Dontchev and T. Noir, quasi normal spaces and g –closed sets, Acta Math.Hungar. 89 (2000),211 -219.
- J.H.Park,On gp closed sets in topological spaces, Indian J.Pure Appl.Math ( to appear).
- M.K.R.S VEERAKUMAR, on – closed sets in topological spaces. Bull. Allahabad math. Soc. 1892003), 99-112.
- J.Antony Rex Rodrigo, S.Pious Missier , on -closed sets in topological spaces(to be communicated)
- N.Palaniappan , J.Antony Rex Rodrigo , S.Pious Missier , on -closed sets in topological spaces(to be communicated)
- N.Levine,Generalized closed sets in topology, Rend. Circ. Mat. Palermo, 19(1970), 89- 96.
- Parithosh Bhattacharyya and B.K.Lahiri On semi generalized closed sets in topology (1987)375-382
- R.Devi,H.Maki and K.Balachandran,semi generalized closed maps and generalized semi – closed maps, Mem.Fac.Kochi. Univ.ser.A (Math),14 (1993), 41-54.
- S.PiousMissier, C.Devamanoharan, M.Caldas, And S.Jafari.On
- Saied Jafari.M.Leiiies Thivagar and Nirmala Rebecca Paul, Remarks on closed sets in topological spaces.
- S.P. Arya and T. Nour, Characterizations of s-normal spaces, Indian J.Pure Appl. Math. 21 (1990), 717-719.
- S.S.Benchalli and R.S.Walli, On RW – closed sets in topological spaces(2007),99- 110
- T.Y.Kong,R.Kopperman and P.R.Meyer,A topological approach to digital topology, Amer.Math.Monthly, 98(1991), 901-917.
- V.Zaotsav,On certain Classes of topological spaces and their bicompactifications, Dokl.Akad Nauk SSSR, 178(1978),778- 779 8
|
Article Post Production
Article Indexed In
|