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On β-I-open Sets and a Decomposition of Almost-I-continuity

Hatir, E., and Noiri, T., (2006) On β-I-open Sets and a Decomposition of Almost-I-continuity. Bulletin of the Malaysian Mathematical Sciences Society, 29 (2). pp. 119-124. ISSN 0126-6705

Full text not available from this repository.

Official URL: http://math.usm.my/bulletin/pdf/v29n2/v29n2p3.pdf

Affiliations

Selcuk Universitesi, Egitim Fakultesi, Matematik Bolumu

Abstract

In this paper, we investigate further properties of $\beta -I-$open sets defined in [5] and give a decomposition of almost$-I-$continuity as the following: a function $ f:(X,\tau ,I)\rightarrow (Y, \sigma ) $ is almost$-I-$continuous if and only if it is $\beta -I-$continuous and $\ast -I-$continuous.

Item Type:Journal
Keywords:β-open set, β-I-open set, almost-I-open set, β-I-continuous, almost-I-continuous.
Subjects:Q Science, Computer Science
ID Code:1440

[1] M. E. Abd El-Monsef, S. N. El-Deeb and R. A. Mahmoud, β-open sets and β-continuous mapping, Bull. Fac. Sci. Assiut Univ. A 12(1) (1983), 77-90.

[2] M. E. Abd El-Monsef, E. F. Lashien and A. A. Nasef, On I-open sets and I-continuous functions, Kyungpook Math. J. 32(1)(1992), 21-30.

[3] M. E. Abd El-Monsef, R. A. Mahmoud and A. A. Nasef, Almost I-openness and almost I-continuity, J. Egyptian Math. Soc. 7(2)(1999), 191-200.

[4] J. Dontchev, On pre-I-open sets and a decomposition of I-continuity, Banyan Math. J. 2(1996).

[5] E. Hatir and T. Noiri, On decompositions of continuity via idealization, Acta Math. Hungar. 96(4)(2002), 341-349.

[6] E. Hayashi, Topologies defined by local properties, Math. Ann. 156(1964), 205-215.

[7] D. Jankovic and T. R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly 97(4) (1990), 295—310.

[8] D. Jankovic and T. H. Hamlett, Compatible extensions of ideals, Boll. Un. Mat. Ital. B (7) 6(3)(1992), 453-465.

[9] R. L. Newcomb, Topologies which are compact modulo an ideal, Ph.D. Dissertation, Univ. of Col. At Santa Barbara (unpublished) (1967).

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