Subspaces of Absolutely Star-Lindelöf Spaces

• Autores: Yan-Kui Song, Wei-Xue Shi
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 30, Nº 2, 2004, págs. 451-457
• Idioma: inglés
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• Resumen

  • In this paper, we consider two questions on absolute star-Lindelöfness and star-Lindelöfness: (1) Whether every Tychonoff star-Lindelöf space can be embedded into some Tychonoff absolutely star-Lindelöf space as a closed subspace or as a closed Gd-subspace; (2) Characterize the Tychonoff star-Lindelöf spaces which can be embedded as regular closed subspaces into Tychonoff absolutely star-Lindelöf spaces. We proved that the answer to the first question is YES in general. For the second question we give a complete solution.