A covering property with respect to generalized preopen sets

Author:

Mukharjee Ajoy1

Affiliation:

1. St. Joseph's College

Abstract

In this paper,  we introduce and study the notion of $\mu$-precompact spaces on the observation that  each $\mu$-preopen set of a generalized topological space is contained  in a $\mu$-open set. The $\mu$-precompactness is weaker than $\mu$-compactness but stronger than weakly $\mu$-compactness of  generalized topological spaces.

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

Reference19 articles.

1. 1. D. Andrijevic, Semi-preopen sets, Mat. Vesnik 38 (1986), 24–32.

2. 2. A. Csaszar, Generalized open sets in generalized topologies, Acta Math. Hungar. 106 (1-2) (2005), 351–357.

3. 3. A. Csaszar, Extremally disconnected generalized topologies, Ann. Univ. Sci. Budapest. E¨otv¨os Sect. Math. 47 (2004), 91–96.

4. 4. A. Csaszar, Generalized topology, generalized continuity, Acta Math. Hungar. 96 (4) (2002), 351–357.

5. 5. A. Csaszar, -compact spaces, Acta Math. Hungar. 87 (1-2) (2000), 99–107.

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