Products of Lindelöf spaces with points Gδ

Research output: Contribution to journalArticlepeer-review

Abstract

We show that if CH holds and either (i) there exists an ω1-Kurepa tree, or (ii) □(ω2) holds, then there are regular T1 Lindelöf spaces X0 and X1 with points Gδ such that the extent of X0×X1 is strictly greater than 2ω.

Original languageEnglish
Pages (from-to)90-96
Number of pages7
JournalTopology and its Applications
Volume252
DOIs
Publication statusPublished - 2019 Feb 1

Keywords

  • Aronszajn tree
  • Kurepa tree
  • Lindelöf space
  • Points G
  • Square principle

ASJC Scopus subject areas

  • Geometry and Topology

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