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Proyecciones (Antofagasta)

Print version 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.


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

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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

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