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 .
Original language | English |
---|---|
Journal | Periodica Mathematica Hungarica |
DOIs | |
State | Accepted/In press - 2023 |
Bibliographical note
Publisher Copyright:© 2023, Akadémiai Kiadó, Budapest, Hungary.
Keywords
- Club AD
- Dowker space
- Luzin set
- Stick
- Strongly unbounded coloring