ON g#p#-CONTINUOUS MAPS IN TOPOLOGICAL SPACES

Main Article Content

S. PIOUS MISSIER
K. Alli

Abstract

The aim of this paper is to introduce and study g#p#-continuous maps. Basic characterizations and several properties concerning them are obtained. Further, g#p#-irresolute map is also defined. Some of the properties are investigated.

 1991 AMS Classification: 54A05, 54D10.

Keywords: g#- closed set, g#p#-closed  set, g#p#-continuous maps and g#p#-irresolute maps.

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How to Cite
MISSIER, S. P., & Alli, K. (2013). ON g#p#-CONTINUOUS MAPS IN TOPOLOGICAL SPACES. Journal of Global Research in Mathematical Archives(JGRMA), 1(5), 26–30. Retrieved from https://jgrma.com/index.php/jgrma/article/view/63
Section
Research Paper
Author Biography

K. Alli

K.Alli,

Assistant Professor, 

Department of Mathematics,

The M.D.T.Hindu College,

Tirunelveli-10,

Tamil Nadu,

                                                                                                                                                                

 E-mail id: allimdt@gmail.com

                               

References

M.E. Abd El-Monsef ,S.N. El-Deeb and R.A.Mahmoud ., b-open sets and b-continuous mappings, Bull. Fac. Sci. Assiut Univ., 12(1983),

-90.

K.Alli, S.Pious Missier and A.Subramanian,A., g#p#-closed sets in a topological spaces , (IJMSC) Accepted.,(2013) .

K.Alli, S.Pious Missier and A.Subramanian., On g#p-continuous maps in topological spaces ,International Journal of Modern Engineering

Research,Vol.3,Issue1,Jan-Feb.(2013) 360-364.

D. Andrijević ., Semi-preopen sets, Mat. Vesnik, 38(1)(1986), 24-32.

I.Arockiarani, K.Balachandran and J.Dontchev., Some characterizations of gp-irresolute and gp-continuous maps between topological

spaces, Mem. Fac. Sci. Kochi Univ. Ser.A. Math.,20(1999),93-104.

S.P.Arya and T.Nour., Characterizations of s-normal spaces, Indian J. Pure. Appl. Math.,21(8)(1990), 717-719.

K.Balachandran,P. Sundaram and H.Maki., On generalized continuous maps in topological spaces,Mem. Fac. Sci. Kochi Univ. Ser.A.

Math., 12(1991), 5-13.

P.Bhattacharya and B.K.Lahiri., Semi-generalized closed sets in topology, Indian J. Math.,29(3)(1987), 375-382.

R.Devi,K. Balachandran and H.Maki., Generalized a-closed maps and a- generalized closed maps,Indian J. Pure. Appl. Math.,

(1)(1998), 37-49.

R.Devi,H. Maki and K.Balachandran., Semi-generalized homeomorphisms and generalized semi- homeomorphisms, Indian J. Pure. Appl.

Math., 26(3)(1995), 271-284.

J.Dontchev ., On generalizing semi-preopen sets, Mem. Fac. Sci. Kochi Univ. Ser.A. Math.,16(1995), 35-48.

Y. Gnanambal., On generalized preregular closed sets in topological spaces, Indian J. Pure. Appl.Math., 28(3)(1997), 351-360.

D.S.Janković,., A note on mappings of extremally disconnected spaces, Acta Math. Hung.,46(1985), 83-92.

C.Kuratowski., Topology I, Hafner, New York,1958.

N.Levine., Generalized closed sets in topology, Rend. Circ. Math. Palermo, 19(2)(1970), 89-96.

N.Levine., Semi-open sets and semi-continuity in topological spaces, Amer.Math. Monthly,70(1963), 36-41.

H.Maki,R.Devi and K.Balachandran., Associated topologies of generalized a-closed sets and a-generalized closed sets,Mem.Fac.

Sci.Kochi Univ.Ser.A.Math.,15(1994), 51- 63.

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

H.Maki,J.Umehara and T.Noiri., Every topological space is pre-T1/2 space,Mem. Fac. Sci. Kochi Univ. Ser.A. Math., 17(1996), 33-42.

A.S. Mashhour,M.E.Abd El-Monsef and S.N.El-Deeb., On pre-continuous and weak pre-continuous mappings, Proc. Math. and Phys. Soc.

Egypt, 53(1982), 47-53.

A.S.Mashhour,I.A.Hasanein and S.N.El-Deeb., a-continuous and a-open mappings, Acta Math Hung., 41(3-4)(1983), 213-218.

O.Njåstad., On some classes of nearly open sets, Pacific J. Math.,15(1965),961-970.

T.Noiri,H.Maki and J.Umehara., Generalized preclosed functions, Mem.Fac. Sci. Kochi Univ.Ser.A. Math., 19(1998), 13-20.

P.Sundaram,H. Maki and K.Balachandran., Semi-generalized continuous maps and semi-T1/2 spaces,Bull. Fukuoka Univ. Ed. Part III, 40(1991),33-40.

S.Pious Missier,K. Alli and A. Subramanian., g#p-closed sets in a topological spaces, International Journal of Mathematical Archieve (IJMA)- 4(1),(2013),176-181.

S.Pious Missier,K.Alli and A. Subramanian.,Applications of g#p#-closed sets in a topological spaces, International J.of Math.Sci.& Engg.Appls.(IJMSEA) ISSN 0973- 9424,Vol.7 No.III May,2013),pp.215-222.

M.K.R.S. Veera kumar., g#-closed sets in topological spaces,Mem.Fac.Sci.Kochi Univ.Ser.A.Math 24(2003), 1-13.

M.K.R.S. Veera kumar., Between closed sets and g-closed sets,Mem.Fac.Sci.Kochi. Univ.Ser.A.Math.,21(2000),1-19.