On spaces with the property (wa)

• Song, Yan-Kui ^[1]
  1. [1] Nanjing Normal University

     Nanjing Normal University

     China

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 7, Nº. 1, 2006, págs. 131-138
• Idioma: inglés
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• Resumen

  • A space X has the property (wa) (or is a space with the property (wa)) if for every open cover U of X and every dense subspace D of X, there exists a discrete subspace F C D such that St(F, U) = X. In this paper, we give an example of a Tychonoff space without the property (wa), and also study topological properties of spaces with the property (wa) by using the example.