English

Productively Lindelof spaces may all be D

General Topology 2011-04-19 v1 Logic

Abstract

We give easy proofs that a) the Continuum Hypothesis implies that if the product of X with every Lindelof space is Lindelof, then X is a D-space, and b) Borel's Conjecture implies every Rothberger space is Hurewicz.

Keywords

Cite

@article{arxiv.1104.2794,
  title  = {Productively Lindelof spaces may all be D},
  author = {Franklin D. Tall},
  journal= {arXiv preprint arXiv:1104.2794},
  year   = {2011}
}