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Productively Lindelöf Spaces May All Be D

Published online by Cambridge University Press:  20 November 2018

Franklin D. Tall
Franklin D. Tall*
Affiliation:
Department of Mathematics, University of Toronto, Toronto, ON M5S 2E4 e-mail: f.tall@utoronto.ca
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Abstract

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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.

Keywords

54D2054B1054D5554A2054A20productively LindelöfD-space, projectively σ-compactMengerHurewicz
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 56 , Issue 1 , 01 March 2013 , pp. 203 - 212
Copyright
Copyright © Canadian Mathematical Society 2013

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