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1. CMB 2011 (vol 56 pp. 203)
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Productively Lindelöf Spaces May All Be $D$ We give easy proofs that (a) the Continuum Hypothesis implies that if
the product of $X$ with every Lindelöf space is Lindelöf, then $X$ is
a $D$-space, and (b) Borel's Conjecture implies every Rothberger space
is Hurewicz.
Keywords:productively Lindelöf, $D$-space, projectively $\sigma$-compact, Menger, Hurewicz Categories:54D20, 54B10, 54D55, 54A20, 03F50 |