Products of weakly-$\aleph $-compact spaces
Products of weakly-$\aleph $-compact spaces
A space is said to be weakly- ${\aleph _1}$ -compact (or weakly-Lindelöf) provided each open cover admits a countable subfamily with dense union. We show this property in a product space is determined by finite subproducts, and by assuming that ${2^{{\aleph _0}}} = {2^{{\aleph _1}}}$ we show the property is …