Applications of rg*b-open sets

Article Sidebar

PDF
Published: May 1, 2014

Main Article Content

G. Sindhu

Abstract

Using the concept of rg*b -open set, we introduce and study the topological properties of rg*b -limit points, rg*b -derived sets, rg*b interior and rg*b-closure of a set, rg*b –interior points, rg*b -border, rg*b frontier and rg*b -exterior.

Keywords: rg*b -limit point, rg*b -derived set, rg*b -interior, rg*b -closure, rg*b -interior points, rg*b -border, rg*b -frontier, rg*b -exterior.

Downloads

Download data is not yet available.

Article Details

How to Cite
Sindhu, G. (2014). Applications of rg*b-open sets. Journal of Global Research in Mathematical Archives(JGRMA), 1(12), 40–49. Retrieved from https://www.jgrma.com/index.php/jgrma/article/view/145
Issue
Vol. 1 No. 12 (2013): December-2013
Section
Research Paper

Open Access: This is an open-access journal. All articles published in the Journal of Global Research in Mathematical Archives(JGRMA) are made immediately and permanently available under the Creative Commons Attribution 4.0 International (CC BY 4.0) License. Authors retain the copyright of their work and grant Journal of Global Research in Mathematical Archives(JGRMA)  the right of first publication. This license permits unrestricted use, distribution, adaptation, and reproduction in any medium or format, including commercial use, provided the original author(s), source, and license are properly acknowledged.

Google Scholar Indexed | DOI Enabled | OAI-PMH Compliant | Open Access Journal

References

D. Andrijevic, Some properties of the topology of ï¡-sets, Mat. Vesnik 36 (1984), 1–10.

D. Andrijevic,On b-open sets, Math. Vesnik,48(1996), No. 1-2,59-64.

M. Caldas, A note on some applications of ï¡-sets, Int. J. Math. Math. Sci. 2003, no. 2 (2003), 125–130.

M. Caldas and J. Dontchev, On spaces with hereditarily compact ï¡-topologies, Acta Math. Hung. 82 (1999), 121–129.

S. Jafari and T. Noiri, Contra-ï¡-continuous functions between topological spaces, Iranian Int. J. Sci. 2, no. 2 (2001), 153–167.

S. Jafari and T. Noiri, Some remarks on weak ï¡-continuity, Far East J. Math. Sci. 6,no. 4 (1998), 619–625.

S. N. Maheshwari and S. S. Thakur, On ï¡-irresolute mappings, Tamkang J. Math. 11 (1980), 209–214.

S. N. Maheshwari and S. S. Thakur, On ï¡-compact spaces, Bull. Inst. Math. Acad. Sinica 13 (1985), 341–347.

H. Maki, R. Devi and K. Balachandran, Generalized ï¡-closed sets in topology, Bull. Fukuoka Univ. Ed. Part III 42 (1993), 13–21.

H. Maki and T. Noiri, The pasting lemma for ï¡-continuous maps, Glas. Mat. 23(43) (1988), 357–363.

A. S. Mashhour, I. A. Hasanein and S. N. El-Deeb, ï¡-continuous and ï¡-open mappings, Acta Math. Hungar. 41, no. 3-4 (1983), 213–218.

N.Palaniappan and K.C.Rao, Regular generalized closed sets, Kyungpook, Math. J., 33(1993), 211-219.

I. L. Reilly and M. K. Vamanamurthy, On ï¡-sets in topological spaces, Tamkang J. Math. 16 (1985), 7–11.

Sindhu.G and Indirani.K, On Regular Generalized Star b closed sets, IJMA-4(10) ,2013, 85-92

Sindhu.G and Indirani.K,, On Regular Generalized Star b-Closed Functions, Proceedings of NARC,(2013),74-78.

Sindhu.G and Indirani.K, On Contra –rg*b-Continuous Functions and Approximately–rg*b-Continuous Functions in Topological Spaces , IJMA-4(12) ,2013 ,87-93.

Sindhu.G and Indirani.K, On rg*b-Compactness and Connectedness in Topological Spaces, IJMA-5(2) ,2014 ,59-64.

Willard S., General topology, Addison Wesley, 1970.

Young Bae Jun, Seong Woo Jeong , Hyeon Jeong Lee andJoon Woo Lee , Applications of Pre-open sets , Applied General Topology, Vol 9 , No.2, 2008,213-228.