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Study of (Λ,α)-Closed Sets and the Related Notions in Topological Spaces

Caldas, M., and Georgiou, D.N., and Jafari S., (2007) Study of (Λ,α)-Closed Sets and the Related Notions in Topological Spaces. Bulletin of the Malaysian Mathematical Sciences Society, 30 (1). pp. 23-36. ISSN 0126-6705

Full text not available from this repository.

Official URL: http://math.usm.my/bulletin/pdf/v30n1/v30n1p3.pdf

Affiliations

Universidade Federal Fluminense, Dept. de Matematica Aplicada
University of Patras, Dept. of Mathematics
Roskilde University, Dept. of Mathematics and Physics

Abstract

This paper deals with the notions of $\Lambda_\alpha$-sets and $(\Lambda, \alpha)$-closed sets which are defined by utilizing the notions of $\alpha$-open and $\alpha$-closed sets. We also introduce and characterize some new low separation axioms. Moreover, we introduce and study the notions of $(\Lambda, \alpha)$-continuity, $(\Lambda, \alpha)$-irresoluteness, $(\Lambda, \alpha)$-compactness, and $(\Lambda, \alpha)$-connectedness.

2000 Mathematics Subject Classification: 54B05, 54C08; Secondary: 54D05.

Item Type:Journal
Keywords:Topological space, α-open, α-closed, (Λ, α)-closed sets.
Subjects:Q Science, Computer Science
ID Code:1362

[1] 0. Njastad, On some classes of nearly open sets, Pasific J. Math. 15(1965), 961—970.

[2] D. Andrijevic, Some properties of the topology of α-sets, Mat. Vesnik 36(1984), 1—10.

[3] F.G. Arenas, J. Cao, J. Dontchev and M.L. Puertas, Some covering properties of the α-topology (preprint).

[4] Jafari S. and T. Noiri, Some remarks on weak α-continuity, Far East J. Math. Sci. 6(4)(1998), 619-625.

[5] S.N. Maheshwari and S.S. Thakur, On α-compact spaces, Bull. Inst. Math. Acad. Sinica, 13(1985), 341-347.

[6] S.N. Maheshwari and S.S. Thakur. On α-irresolute mapping, Tamkang J. Math. 11(1980), 209-214.

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

[8] H. Maki and T. Noiri, The pasting lemma for α-continuous maps, Glas. Mat. 23(43)(1988), 357—363.

[9] A.S. Mashhour, I.A. Hasanein and S.N. El-Deeb, α-continuous and α-open mappings, Acta Math. Hung. 41(1983), 213 218.

[10] T. Noiri and G. Di Maio, Properties of α-compact spaces, Suppl. Rend. Circ. Met. Palermo 18(2)(1988), 359—369.

[11] T. Noiri, Weakly α-continuous functions, Internat. J. Math. Math. Sci. 10(3)(1987), 183-190.

[12] I.L. Reilly and M.K. Vamanamurthy, On α-continuity in topological spaces, Acta Math. Hung. 45(1—2)(1985), 27-32.

[13] I.L. Reilly and M.K. Vamananmurthy, On α-sets in topological spaces, Tamkang J. Math. 16(1985), 7—11.

[14] I.L. Reilly and M.K. Vamanamurthy, On countably α-compact spaces, J. Sci. Res. 5(1983), 5-8.

[15] R. Saraf and M. Caldas, On gα-compact spaces, Pro-Math. 14(1000), 91-98.

[16] M. Caldas, D.N. Georgiou, Jafari S. and T. Noiri, On (Λ, θ)-closed sets, qaestions answers gen, Topology 23(1)(2005),69—87.

[17] T. Noiri, On α-continuous functions, Casopis Pest. Met. 109(2)(1984), 118-126.

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