A new small Dowker space

Assaf Rinot, Roy Shalev, Stevo Todorcevic

Research output: Contribution to journalArticlepeer-review

Abstract

It is proved that a strong instance of the guessing principle ♣AD on the first uncountable cardinal follows from either the principle, or the principle ♢(b), or the existence of a Luzin set. In particular, any of the above hypotheses entails the existence of a Dowker space of size ℵ1.

Original languageEnglish
Pages (from-to)102-117
Number of pages16
JournalPeriodica Mathematica Hungarica
Volume88
Issue number1
DOIs
StatePublished - Mar 2024

Keywords

  • 54G20
  • Club AD
  • Dowker space
  • Luzin set
  • Primary 03E05
  • Secondary 03E65
  • Stick
  • Strongly unbounded coloring

All Science Journal Classification (ASJC) codes

  • General Mathematics

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