Fumie Nakaoka, Nobuyuki Oda, "Some applications of minimal open sets", International Journal of Mathematics and Mathematical Sciences, vol. 27, Article ID 784531, 6 pages, 2001. https://doi.org/10.1155/S0161171201006482
Some applications of minimal open sets
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.
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