Abstract
We analyze the strong polarized partition relation with respect to several cardinal characteristics and forcing notions of the reals. We prove that random reals (as well as the existence of real-valued measurable cardinals) yield downward negative polarized relations.
Original language | English |
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Pages (from-to) | 203-212 |
Number of pages | 10 |
Journal | Studia Scientiarum Mathematicarum Hungarica |
Volume | 55 |
Issue number | 2 |
DOIs | |
State | Published - Jun 2018 |
Bibliographical note
Publisher Copyright:© 2018 Akadémiai Kiadó, Budapest.
Keywords
- Polarized partition relations
- Random real forcing
- Real valued measurable cardinals
- Reaping number
- Splitting number