Separation axioms on enlargements of
generalized topologies

CARLOS CARPINTERO^{a, *}, NAMEGALESH RAJESH^b, ENNIS ROSAS^a

^a Universidad de Oriente, Núcleo de Sucre, Cumaná, Venezuela.
Universidad del Atlántico, Facultad de Ciencias Básicas, Barranquilla, Colombia.
^b Rajah Serfoji Govt. College, Department of Mathematics, Thanjavur-613005, Tamilnadu, India.

Abstract. The aim of this paper is to characterize the K_-μ.closure of any subset A of X and study under what conditions a subset A of X is g.K_μ-closed. We also introduce the notions of k-T_i (i = 0, 1/2, 1, 2) and study some properties of them.

Keywords: Generalized Topology, enlargements.
MSC2010: 54A05, 54A10, 54D10.

Axiomas de separación en ampliaciones
de topologías generalizadas

Resumen. El objetivo de este trabajo es caracterizar la K_-μ.clausura de cualquier subconjunto A de X y estudiar en qué condiciones un subconjunto A de X es g.K_μ-cerrado. También introducimos las nociones de k-T_i (i = 0, 1/2, 1, 2) y el estudio de algunas propiedades de ellas.

Palabras claves: Topología generalizada, ampliaciones.

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References

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^*Corresponding author: E-mail: carpintero.carlos@gmail.com
Received: 02 September 2013, Accepted: 01 March 2014.
To cite this article: C. Carpintero, N. Rajesh, E. Rosas, Separation axioms on enlargements of generalized
topologies, Rev. Integr. Temas Mat. 32 (2014), no. 1, 19-26.