On spaces with the property (wa)


  • Yan-Kui Song Nanjing normal university




Property (a), Property (wa)


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.


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Author Biography

Yan-Kui Song, Nanjing normal university

Department of Mathematics


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How to Cite

Y.-K. Song, “On spaces with the property (wa)”, Appl. Gen. Topol., vol. 7, no. 1, pp. 131–138, Apr. 2006.



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