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Locally gωα-Closed Sets in Topological Spaces

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Abstract:

In the year 2014, the present authors introduced and studied the concept of gωα-closed sets in topological spaces. The purpose of this paper to introduce a new class of locally closed sets called gωα-locally closed sets (briefly gωαlc-sets) and study some of their properties. Also gωα-locally closed continuous (briefly gωαlc-continuous) functions and its irresolute functions are introduced and studied their properties in topological spaces.

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Periodical:
International Journal of Pure Mathematical Sciences (Volume 19)
Pages:
1-9
Citation:
S.S. Benchalli et al., "Locally gωα-Closed Sets in Topological Spaces", International Journal of Pure Mathematical Sciences, Vol. 19, pp. 1-9, 2017
Online since:
December 2017
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References:

[1] Arokiarani, K. Balachandran, M. Ganster, Regular generalized locally closed sets and RGL-continuous functions, Indian J. Pure Appl. Math. 28(5) (1997) 661-670.

[2] K. Balachandran, P. Sundaram, H. Maki, Generalized locally closed sets and GLC- continuous functions, Indian J. Pure Appl. Math. 27 (1996) 235-244.

[3] K. Balachandran, Y. Gnanambal, P. Sundaram, On generalized locally semi-closed sets and GLSC-continuous functions, Far East J. Math. Sciences. 5 (1997) 189-200.

[4] S.S. Benchalli, P.G. Patil, P.M. Nalwad, Generalized -closed sets in topological spaces, J. New Results Sci. 7 (2014) 7-14.

[5] C.J.R. Borges, On extensions of topologies, Canad. J. Math. 19 (1967) 474-487.

[6] N. Bourbaki, General topology part I, Addison Wesley, Reading, Mass, (1966).

[7] J. Dontchev, On sub maximal spaces, Tamkang J. Math. 26 (1995) 253-260.

[8] M. Ganster, I.L. Reilly, Locally closed sets and LC-continuous functions, Internal J. Math. Math. Sci. 12 (1989) 417-424.

[9] Y. Gnanambal, Studies on generalized pre-regular closed sets and generalization of locally closed sets, Ph. D Thesis, Bharathiar University, Coimbatore, (1998).

[10] C. Kuratowski, W. Sierpinski, Sur les differences deux ensembles fermes, Tohoku Math. J. 20 (1921) 22-25.

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

DOI: https://doi.org/10.2307/2312781

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

DOI: https://doi.org/10.2140/pjm.1965.15.961

[13] P.G. Patil, Some new weaker forms of locally closed sets in topological spaces, Inter. J. Math. Comp. Appl. Res. 3 (2013) 249-258.

[14] A. Pushpalatha, Studies on generalizations of mappings in topological spaces, Ph. D Thesis, Bharathiar University, Coimbatore, (2000).

[15] M. Shaik John, A study on generalizations of closed sets on continuous maps in topological spaces and bitopological spaces, Ph. D Thesis, Bharathiar University, Coimbatore, (2002).

[16] M. Stone, Applications of the theory of boolean rings to general topology, Trans. Amer. Math. Soc. 41(3) (1937) 375-381.

[17] M. Stone, Absolutely FG spaces, Proc. Amer. Math. Soc. 80(3) (1980) 515-520.

DOI: https://doi.org/10.1090/s0002-9939-1980-0581017-0

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

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