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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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Detalles Bibliográficos
Principais autores: Fumie Nakaoka, Nobuyuki Oda
Formato: Artigo
Idioma:Inglês
Publicado: Wiley 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Acceso en liña:http://dx.doi.org/10.1155/S0161171201006482
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