A new small Dowker space

Assaf Rinot, Roy Shalev, Stevo Todorcevic

Research output: Contribution to journalArticlepeer-review


It is proved that a strong instance of the guessing principle ♣AD on the first uncountable cardinal follows from either the principle [InlineEquation not available: see fulltext.], 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
JournalPeriodica Mathematica Hungarica
StateAccepted/In press - 2023

Bibliographical note

Publisher Copyright:
© 2023, Akadémiai Kiadó, Budapest, Hungary.


  • Club AD
  • Dowker space
  • Luzin set
  • Stick
  • Strongly unbounded coloring


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