European Journal of Pure and Applied Mathematics, Vol 2, No 3 (2009)

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On Minimal gamma-Open Sets

Sabir Hussain, Bashir Ahmad

Abstract


In this paper, we introduce and discuss minimal gamma-

open sets in topological spaces. We establish some basic properties of minimal gamma-open sets and provide an example to illustrate that minimal gamma-open sets are independent of minimal open sets introduced and discussed in [3]. We obtain some properties of pre gamma-open sets using properties of minimal gamma-open sets. As an application of a theory of minimal gamma-open sets, we obtain a sufficient condition for a gamma-locally finite space to be a pre gamma-T_2 space.

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