Conditions which imply Lindelöfness in star-Lindelöf spaces

• Autores: Yan-Kui Song
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 31, Nº 3, 2005, págs. 809-813
• Idioma: inglés
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• Resumen

  • In this paper we prove that every regular star-Lindelöf space is Lindelöf if and only if every increasing open cover Ua, a< t, admits an increasing open cover Va such that the closures of the Va are contained in the Ua.