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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 27 (2001), Issue 8, Pages 471-476
doi:10.1155/S0161171201006482

Some applications of minimal open sets

Fumie Nakaoka and Nobuyuki Oda

Department of Applied Mathematics, Fukuoka University, Nanakuma Jonan-ku, Fukuoka 814-0180, Japan

Abstract

We characterize minimal open sets in topological spaces. We show that any nonempty subset of a minimal open set is pre-open. As an application of a theory of minimal open sets, we obtain a sufficient condition for a locally finite space to be a pre-Hausdorff space.