Authors: Rinot, Assaf
Shalev, Roy
Todorčević, Stevo 
Affiliations: Mathematics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: A new small Dowker space
Journal: Periodica Mathematica Hungarica
Issue Date: 2023
Rank: ~M22
ISSN: 0031-5303
DOI: 10.1007/s10998-023-00541-6
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 .
Keywords: Club AD | Dowker space | Luzin set | Stick | Strongly unbounded coloring
Publisher: Springer Link

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