Some applications of minimal open sets

Fumie Nakaoka and Nobuyuki Oda

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 27, 1-6

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.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:784531

DOI: 10.1155/S0161171201006482

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