On Nano Regular Generalized and Nano Generalized Regular Closed Sets in Nano Topological Spaces
Citation
P.Sulochana Devi , Dr.K.Bhuvaneswari. "On Nano Regular Generalized and Nano Generalized Regular Closed Sets in Nano Topological Spaces", International Journal of Engineering Trends and Technology (IJETT), V13(8),386-390 July 2014. ISSN:2231-5381. www.ijettjournal.org. published by seventh sense research group
Abstract
The purpose of this paper is to define and study a new class of sets called Nano regular generalized and Nano generalized regular closed sets in nano topological spaces. Basic properties of nano regular generalized closed sets and nano generalized regular closed sets are analysed. We also used them to introduce the new notions like nano regular generalized closure and nano generalized regular closure and their relation with already existing well known sets are also investigated.
References
[1]. Levine N. (1970): Generalized closed sets in Topology, Rend. CircMath.Palermo, (2), 19, 89-96.
[2]. Lellis Thivagar M and Carmel Richard, on Nano forms of weakly open sets. International Journal of Mathematics and statistics invention, volume I issuel, August 2013, PP-31-37.
[3]. N.Nagaveni and A.Narmadha, on regular b-closed sets in topological spaces, Heber International conference on applications of Mathematics and statistics, HICAMS-2012, 5-7 Jan 2012, 81-87.
[4]. N.Palaniappan and K.Chandarasekhara Rao, Regular generalized closed sets, Kyungpook math.J, 33(1993), 211-219.
[5]. Sharmistha Bhattacharya (Halder), on generalized regular closed sets, Int. J. Contemp. Math. Sci., 6(2011), 145-152.
Keywords
Nano closed set, Nano regular closed, Nano Regular generalized closed set, Nano generalized regular closed set.