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 language | English |
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Pages (from-to) | 102-117 |
Number of pages | 16 |
Journal | Periodica Mathematica Hungarica |
Volume | 88 |
Issue number | 1 |
DOIs | |
State | Published - 1 Mar 2024 |
Externally published | Yes |
Keywords
- 54G20
- Club AD
- Dowker space
- Luzin set
- Primary 03E05
- Secondary 03E65
- Stick
- Strongly unbounded coloring
ASJC Scopus subject areas
- General Mathematics