Productively Lindelöf Spaces May All Be $D$

Canadian mathematical bulletin

Franklin D. Tall¹ 

[1] Department of Mathematics, University of Toronto, Toronto, ON M5S 2E4

关键词: productively Lindelöf;    $D$-space;    projectively $sigma$-compact;    Menger;    Hurewicz;   

DOI  :  10.4153/CMB-2011-150-2

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We give easy proofs that (a) the Continuum Hypothesis implies that ifthe product of $X$ with every Lindelöf space is Lindelöf, then $X$ isa $D$-space, and (b) Borel's Conjecture implies every Rothberger spaceis Hurewicz.

【 授权许可】

Unknown