| 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 | Abstract: | 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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