Embedding into discretely absolutely star-Lindelöf spaces II

• 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. 10, Nº. 1, 2009, págs. 13-20
• Idioma: inglés
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• Resumen

  • A space X is discretely absolutely star-Lindelöf if for every open cover U of X and every dense subset D of X, there exists a countable subset F of D such that F is discrete closed in X and St(F, U) = X, where St(F, U) = S{U ∈ U : U ∩F 6= Ø}. We show that every Hausdorff star-Lindelöf space can be represented in a Hausdorff discretely absolutely star-Lindelöf space as a closed G-subspace.