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Some applications of minimal open sets

Fumie Nakaoka, Nobuyuki Oda

International Journal of Mathematics and Mathematical Sciences · 2001

doi:10.1155/s0161171201006482 (opens in a new tab)

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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.

Abstract licence: CC BY

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