Productively Lindelöf Spaces May All Be D
Canadian mathematical bulletin, Tome 56 (2013) no. 1, pp. 203-212
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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.
Mots-clés :
54D20, 54B10, 54D55, 54A20, 54A20, productively Lindelöf, D-space, projectively σ-compact, Menger, Hurewicz
Tall, Franklin D. Productively Lindelöf Spaces May All Be D. Canadian mathematical bulletin, Tome 56 (2013) no. 1, pp. 203-212. doi: 10.4153/CMB-2011-150-2
@article{10_4153_CMB_2011_150_2,
author = {Tall, Franklin D.},
title = {Productively {Lindel\"of} {Spaces} {May} {All} {Be} {D}},
journal = {Canadian mathematical bulletin},
pages = {203--212},
year = {2013},
volume = {56},
number = {1},
doi = {10.4153/CMB-2011-150-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-150-2/}
}
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