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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Proyecciones (Antofagasta) vol.34 no.1 Antofagasta Mar. 2015

http://dx.doi.org/10.4067/S0716-09172015000100002 

On some maps concerning gβθ-open sets

Miguel Caldas

Universidade Federal Fluminense, Brasil

Saeid Jafari

College of Vestsjaelland South, Denmark


ABSTRACT

In this paper, we consider a new notion of βθ-open maps via the concept of gβθ-closed sets which we call approximately βθ-open maps. We study some of its fundamental properties. It turns out that we can use this notion to obtain a new characterization of βθ-Ti spaces.

1991 Math. Subject Classification : 54C10, 54D10.

Key Words and Phrases : Topological spaces, βθ-closed sets, βθ-open sets, βθ-open maps, β-irresolute maps, βθ-T1 spaces.


REFERENCES

[1]    M. E. Abd. El-Monsef, S. N. EL-Deeb and R. A. Mahmoud: f-open and f -continuous mappings, Bull. Fac. Sci. Assiut Univ., 12, pp. 77-90, (1983).         [ Links ]

[2]    D. Andrijevic: Semi-preopen sets, Mat. Vesnik 38, pp. 24-32, (1986).         [ Links ]

[3]    M. Caldas:    Other characterizations of f-9-Ro topological spaces,Tamkang Jour. of Math., 44, pp. 303-311, (2013).         [ Links ]

[4] M. Caldas: On f-9-generalized closed sets snd 9-f-generalized continuity in topolological spaces, J. Adv. Math. Studies, 4, pp. 13-24, (2011).         [ Links ]

[5]    M. Caldas, Weakly sp-9-closed functions and semipre-Hausdorff spaces, Creative Math. Inform., 20, 2, pp. 112-123, (2011).         [ Links ]

[6]    M. Caldas, Functions with strongly f-9-closed graphs, J. Adv. Studies Topology, 3, pp. 1-6, (2012).         [ Links ]

[7]    M. Caldas, On characterizations of weak 9-f-openness, Antartica J. Math., 9(3) , pp. 195-203, (2012).         [ Links ]

[8]    M. Caldas, On contra f9-continuous functions, Proyecciones Journal Math. 39, 4, pp. 333-342, (2013).         [ Links ]

[9]    S. Jafari and T. Noiri: On f -quasi irresolute functions, Mem. Fac. Sci. Kochi Uni.(math), 21, pp. 53-62, (2000).         [ Links ]

[10]    T. Noiri, Weak and strong forms of f -irresolute functions, Acta Math. Hungar., 99, pp. 315-328, (2003).         [ Links ]

[11]    D.A.. Rose: On weak openess and almost openness, Internat. J. Math. and Math. Sci., 7, pp. 35-40, (1984).         [ Links ]

 

M. Caldas

Departamento de Matematica Aplicada Universidade Federal Fluminense Rua Mario Santos Braga ,s/n?,

CEP: 24020-140 ,

Niteroi , RJ BRASIL e-mail: gmamccs@vm.uff.br

S. Jafari

College of Vestsjaelland South, Herrestraede 11,

4200 Slagelse,

DENMARK

e-mail: jafari@stofanet.dk

Received : January 2014. Accepted : February 2015

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