CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

Productively Lindelöf Spaces May All Be $D$

  Published:2011-08-03
 Printed: Mar 2013
  • Franklin D. Tall,
    Department of Mathematics, University of Toronto, Toronto, ON M5S 2E4
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   LaTeX   MathJax   PDF  

Abstract

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 productively Lindelöf, $D$-space, projectively $\sigma$-compact, Menger, Hurewicz
MSC Classifications: 54D20, 54B10, 54D55, 54A20, 03F50 show english descriptions Noncompact covering properties (paracompact, Lindelof, etc.)
Product spaces
Sequential spaces
Convergence in general topology (sequences, filters, limits, convergence spaces, etc.)
Metamathematics of constructive systems
54D20 - Noncompact covering properties (paracompact, Lindelof, etc.)
54B10 - Product spaces
54D55 - Sequential spaces
54A20 - Convergence in general topology (sequences, filters, limits, convergence spaces, etc.)
03F50 - Metamathematics of constructive systems
 

© Canadian Mathematical Society, 2014 : https://cms.math.ca/