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
• DOI: 10.4995/agt.2006.1938
• Enlaces
  • Texto completo
• 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.

• Referencias bibliográficas
  • R. Engelking, General Topology, Revised and completed edition Heldermann, Berlin (1989).
  • M. V. Matveev, Some questions on property (a), Quest. Answers Gen. Topology 15 (1997), 103–111.
  • M. V. Matveev, Absolutely countably compact spaces, Topology Appl. 58 (1994), 81–92. http://dx.doi.org/10.1016/0166-8641(94)90074-4
  • M. V. Matveev, A survey on star-covering properties, Topological Atlas, preprint No. 330 (1998).
  • W. Just, M. V. Matveev and P. J. Szeptycki, Some results on property (a), Topology Appl. 100 (2000), 67–83. http://dx.doi.org/10.1016/S0166-8641(98)00134-5
  • Y. Song, Absolutely countably compact spaces and related spaces, General and Geometric Topology (in Japan) Kyoto. 1074 (1999), 55–60.
  • J. E. Vaughan, On the product of a compact space with an absolutely countably compact spac, Annals of the New York Acad. Sci. 788 (1996),...
  • Z. Yang, A method constructing Hausdorff spaces without property (wa), Quest. Answers Gen. Topology 18 (2000), 113–116.