Products of base-cover metacompact spaces

• Autores: Yang Gao, Lei Mou, Shangzhi Wang
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 34, Nº 4, 2008, págs. 1091-1098
• Idioma: inglés
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• Resumen

  • A space X is base-cover metacompact if it has an open base every subcover of which has a point-finite subcover. Answering a question asked by Popvassilev, we prove: (1) The product of the Michael line (or the Sorgenfrey line) and ?1+1 is not base-cover metacompact, where ?1+1 has the order topology. (2) The product of a base-cover metacompact Lindelöf space and a compact metrizable space is base-cover metacompact