Volume 28 | Number 1 | Year 2015 | Article Id. IJMTT-V28P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V28P502
The purpose of this paper is to introduce a new class of regular spaces namely nano b-regular and nano gb-regular spaces. Some basic properties of these separation axioms are studied by utilizing nano bopen and nano gb-open sets.
[1] Ahmad Al-Omari and Mohd. Salmi Md. Noorani, On Generalized b-closed sets, Bull. Malays. Math. Sci. Soc.
(2)32(1)(2009), 19-30.
[2] D. Andrijevic - Semi pre open sets, Mat. Vesnik, 38(1986), 24- 32.
[3] D. Andrijevic , „On b-open sets‟, Mat. Vesnik, 48(1996), 59- 64.
[4] S.P. Arya and T. Nour, Characterizations of s-normal spaces, Indian J. Pure Appl. Math., 21 (8) (1990), 717-719.
[5] Dhanis Arul Mary A and Arockiarani I “On b-open sets and bcontinuous functions in nano topological spaces” IJIRS, ISSN 2319-9725, Vol 13, Iss.11(2014), 98-116.
[6] Dhanis Arul Mary A and Arockiarani I, On nano gb-closed sets in nano topological spaces, IJMA, 6 (2)(2015) , 54-58.
[7] Dhanis Arul Mary A and Arockiarani I, On quasi nano bnormal spaces, Bulletin of Mathematics and Statistics Research, ISSN: 2348-0580, Vol.3, Iss.3(2015), 124-136.
[8] Dhanis Arul Mary A and Arockiarani I “Properties of nano gbclosed maps” IOSR, e-ISSN: 2278-5728, p-ISSN: 2319-765X. Vol.11, Iss.2 (2015), 21-24.
[9] M. Ganster and I. L. Reilly, Locally closed sets and LCContinuous functions, Int. J. Math. Sci., 3 (1989), 417- 424.
[10] M. Ganster, S. Jafari and G. B. Navalagi, On semi -g-regular and semi-g-normal spaces, Demonstratio Math., 35 (2) (2002), 415 – 421.
[11] Jin Han Park, On s-normal spaces and some functions, Indian J. Pure appl. Math. 30(6)(1999), 575-580.
[12] J. K. Kohli and A. K. Das, New Normality Axioms and decompositions of normality, Glasnik Mat., 37(57) (2002), 163- 173.
[13] N. Levine, Generalized closed sets in topology, Rend. Circ. Mat, Polermo, 19 (2) (1970), 89 – 96.
[14] N. Levine, Semi open sets and semi continuity in topological spaces, Amer.Math. Monthly 70 (1963), 36-41.
[15] M. Lellis Thivagar and Carmel Richard, On nano forms of weakly open sets, International Journal of Mathematics and statistics Invention, (2013), 31-37.
[16] Munchi B. M.: Separation axioms, Acta Ciencia Indica.,12 (1986), 140-144.
[17] T. Noiri, semi-normal spaces and some functions, acta Math. Hungar., 65 (3) (1994), 305-311.
[18] T. Noiri, Almost continuity and some separation axioms, Glasnik Math., 9 (29) (1974), 131 – 135.
[19] T. Noiri,A note on -regular spaces, Indian J.pure appl. Math. 30(9) (1999) 889-891.
[20] T. Noiri and V.Popa, On g-regular spaces and some functions, Mem.Fac.Sci. Kochi Univ. Ser. A. Math. 20(1999), 67-74.
[21] Paul and Bhattacharya, On p-normal spaces, Soochow J. Math., 21 (3) (1995), 273-289.
[22] G. Vigilino, Semi normal and C-compact spaces, Duke J. Math., 38 (1971), 57-61.
[23] Z. Pawlak (1982) “Rough Sets”, International Journal of Information and Computer Sciences, 11(1982), 341-356.
Dhanis Arul Mary A, Arockiarani I, "Properties of nano b-regular spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 28, no. 1, pp. 4-8, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V28P502