θ-generalized semi-open and θ-generalized semi-closed functions
DOI:
https://doi.org/10.4067/S0716-09172009000200001Keywords:
θgs-closed, θgs-open, Pre θgs-open, Pre θgs-closed, θgsclosed function, θgs-open function, θgs-homeomorphism, θgsc-homeomorphism.Abstract
In this paper, we introduce and study the notions of θ-generalized-semi-open function, θ-generalized- semi-closed function,pre θ-generalized-semi-open function,pre θ-generalized-semi-closed function, contra pre θ-generalized-semi-open, contra pre θ-generalized-semi-do sed function and θ-generlized-sem-homeomorphism in topological spaces and study their properties.References
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[4] M. Caldas and S. Jafri, On θ-semi generalized closed sets in topology, Kyngpook Math. J., 43, pp. 135-148, (2003).
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[6] R. Devi , K. Balachandran and H. Maki, Semi-generalized and generalized semi maps, Mem. Fac. Sci. Kochi. Uni. Ser. A (Math.), 14, pp. 41-54, (1993).
[7] G. Di Maio, T. Noiri, On s-closed spaces, Indian J. Pure Appl. Math., 18, pp. 226-233, (1987).
[8] J. Dontechev and H. Maki, On θ-generalized closed sets, Internat. J. Math.and Math. Sci. 22, pp. 239-249, (1999).
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[11] H. Maki, P. Sundaram and K. Balachandran, On generalized homeomorphismsin topological spaces, Bull. Fukuoka Univ. Ed. III , 40 (1991).
[12] Govindappa Navalagi and Md. Hanif Page, On θgs-Neighbiurhoods, accepted for publication, Indian Journal of Mathematics and Mathematical Sciences, Vol. 2, 2 (Dec.2007).
[13] Govindappa Navalagi and Md. Hanif Page, On some more properties of θgs- Neighbiurhoods (Communicated).
[14] Govindappa Navalagi and Md. Hanif Page, On θgs-continuity and θgs-irresoluteness (Communicated).
[15] Govindappa Navalagi and Md. Hanif Page, On some separation axioms via θgs- open sets (Communicated).
[16] N. V. Velicko, On H-closed topological spaces, Amer. Math. Soc. Transl., 78, pp. 103-118, (1968).
[2] K. Balachandran, P. Sundaram and H. Maki, On generalized continuous maps in topological spaces, Mem. Fac. Sci. Kochi. Uni. Ser.A (Math.), 12, pp. 5-13, (1991).
[3] P. Bhattacharya and B. K. Lahiri, Semi-generalized closed sets in topology, Indian J. Math.,29 (3), pp. 375-382, (1987).
[4] M. Caldas and S. Jafri, On θ-semi generalized closed sets in topology, Kyngpook Math. J., 43, pp. 135-148, (2003).
[5] S. G. Crossely and S.K. Hildbrand, On semi-closure. Texas J. Sci, 22, pp. 99-112, (1971).
[6] R. Devi , K. Balachandran and H. Maki, Semi-generalized and generalized semi maps, Mem. Fac. Sci. Kochi. Uni. Ser. A (Math.), 14, pp. 41-54, (1993).
[7] G. Di Maio, T. Noiri, On s-closed spaces, Indian J. Pure Appl. Math., 18, pp. 226-233, (1987).
[8] J. Dontechev and H. Maki, On θ-generalized closed sets, Internat. J. Math.and Math. Sci. 22, pp. 239-249, (1999).
[9] N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer.Math. Monthly 70, pp. 36-41, (1963).
[10] N. Levine, Generalized closed sets in topology, Rend. Circ. Math. Palermo, 19, pp. 89-96, (1970).
[11] H. Maki, P. Sundaram and K. Balachandran, On generalized homeomorphismsin topological spaces, Bull. Fukuoka Univ. Ed. III , 40 (1991).
[12] Govindappa Navalagi and Md. Hanif Page, On θgs-Neighbiurhoods, accepted for publication, Indian Journal of Mathematics and Mathematical Sciences, Vol. 2, 2 (Dec.2007).
[13] Govindappa Navalagi and Md. Hanif Page, On some more properties of θgs- Neighbiurhoods (Communicated).
[14] Govindappa Navalagi and Md. Hanif Page, On θgs-continuity and θgs-irresoluteness (Communicated).
[15] Govindappa Navalagi and Md. Hanif Page, On some separation axioms via θgs- open sets (Communicated).
[16] N. V. Velicko, On H-closed topological spaces, Amer. Math. Soc. Transl., 78, pp. 103-118, (1968).
How to Cite
[1]
G. B. Navalagi and H. Page, “θ-generalized semi-open and θ-generalized semi-closed functions”, Proyecciones (Antofagasta, On line), vol. 28, no. 2, pp. 111-123, 1.
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