ON gr*-HOMEOMORPHISM IN TOPOLOGICAL SPACES

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Published: Feb 5, 2015

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K. Indirani

Abstract

This paper deals with gr*-closed maps, gr*-open maps, gr*-homeomorphism, gr**-homeomorphism and study their properties. Using these new types of maps, several characterizations and properties have been obtained.

 

Keywords: gr*-closed maps, gr*-open maps, gr*- homeomorphism, and gr**- homeomorphism.

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How to Cite
Indirani, K. (2015). ON gr*-HOMEOMORPHISM IN TOPOLOGICAL SPACES. Journal of Global Research in Mathematical Archives(JGRMA), 2(5), 68–73. Retrieved from https://jgrma.com/index.php/jgrma/article/view/215
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Vol. 2 No. 5 (2014): May-2014
Section
Research Paper
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References

. I. Arockiarani, Studies on Generalizations of generalized closed sets and maps in Topological spaces, Ph.D. Thesis, Bharathiar University, Coimbatore,(1997).

. K. Balachandran, P. sundram and H. Maki, On generalized Continuous maps n topological spaces, Mem, Fac Sci. Kochi Univ. Ser. A. Math., 12(1991), 5-13.

. Y. Gnanambal, Studies on Generalized Pre-regular closed sets and Generalization of Locally closed sets, Ph.D. Thesis, Bharathiar University, Coimbatore,(1998).

. K. Indirani, P. Sathishmohan and V. Rajendran, On gr*-Closed Sets in a Topological Spaces, Int. Jr. of Math. Trends and Technology, 6(2)(2014).

K. Indirani, P. Sathishmohan and V. Rajendran, On gr*- Continuous Functions in Topological Spaces, Int. Jr. of Sci. Engg. and Tech. Research, 5(4)(2014).

C.Janaki and M. Anandhi , On Πgθ-Homeomorphisms in Topological Spaces, International Journal of Modern Engineering Research, Vol.4, Issue.7,(2014),58-65.

P. Krishna and Dr. J. Antony Rex Rodrigo, On R-Closed Maps and R-Homeomorphisms in Topological Spaces, IOSR Journal of Mathematics, Vol 4, Issue 1, (2012), 13-19.

N. Levine, Generalized closed sets in Topology, Rend. Circ. Mat. Palermo, 19(1970), 89-96.

Malghan S. R, Generalized closed maps, J. Karnatk Univ. Sci., 27(1982), 82-88.

H. Maki, P. Sundaram and K. Balachandar, On Generalized homeomorphisms in topological spaces, Bull. Fukuoka Univ. Ed, Part III, 40(1991), 13-21.

Palaniappan. N and Rao. K. C., “Regular Generalized closed setsâ€, kyung pook Math. J. 33(1993), 211-219.

S. Sekar and P. Jayakumar, On Generalized gp*-Closed Maps in Topological Spaces, Applied Mathematical Sciences, Vol.8,(2014),415-422.

M. Sheik John, A study On generalizations of closed sets on continuous maps in Topological and Bitopological Spaces, Ph.D. Thesis, Bharathiar University, Coimbatore,(2002).

M. Stone, Applications of the Theory of Boolean rings to the general topology, Trans, Amer, Math. Soc., 41(1937), 375-481.

P. Sundaram, Studies on Generaizations of continuous maps in topological spaces, Ph.D. Thesis, Bharathiar University, Coimbatore,(1991).

A. Vadivel and K. Vairamanickam, rgα-Closed and rgα-OpenMaps in Topological Spaces, Int.Journal of Math. Analysis, Vol.4,(2010),453-468.