SciELO - Scientific Electronic Library Online

vol.34 número1Complementary nil vertex edge dominating setsStability in totally nonlinear neutral differential equations with variable delay using fixed point theory índice de autoresíndice de materiabúsqueda de artículos
Home Pagelista alfabética de revistas  

Servicios Personalizados




Links relacionados

  • En proceso de indezaciónCitado por Google
  • No hay articulos similaresSimilares en SciELO
  • En proceso de indezaciónSimilares en Google


Proyecciones (Antofagasta)

versión impresa ISSN 0716-0917

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

On some maps concerning gβθ-open sets

Miguel Caldas

Universidade Federal Fluminense, Brasil

Saeid Jafari

College of Vestsjaelland South, Denmark


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.


[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:

S. Jafari

College of Vestsjaelland South, Herrestraede 11,

4200 Slagelse,



Received : January 2014. Accepted : February 2015

Creative Commons License Todo el contenido de esta revista, excepto dónde está identificado, está bajo una Licencia Creative Commons