On some maps concerning g??-open sets

Authors

  • Miguel Caldas Cueva Universidade Federal Fluminense.
  • Saeid Jafari College of Vestsjaelland South.

DOI:

https://doi.org/10.4067/S0716-09172015000100002

Keywords:

Topological spaces, βθ-closed sets, βθ-open sets, βθ-open maps, β-irresolute maps, βθ-T1 spaces.

Abstract

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

Author Biography

Miguel Caldas Cueva, Universidade Federal Fluminense.

Departamento de Matematica Aplicada.

References

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[3] M. Caldas: Other characterizations of ?-?-R0 topological spaces, Tamkang Jour. of Math., 44, pp. 303-311, (2013).

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

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

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

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

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

How to Cite

[1]
M. Caldas Cueva and S. Jafari, “On some maps concerning g??-open sets”, Proyecciones (Antofagasta, On line), vol. 34, no. 1, pp. 15-24, 1.

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Artículos