Abstract
We show that base matrices for P.!/=fin of regular height larger than h necessarily have maximal branches that are not cofinal. The same holds for base matrices of height h if t Spoiler < h, where t Spoiler is a variant of t that has been introduced in “Construction with opposition: cardinal invariants and games” by Brendle, Hrušák, and Torres-Pérez.
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 247-251 |
| Seitenumfang | 5 |
| Fachzeitschrift | Notre Dame Journal of Formal Logic |
| Jahrgang | 64 |
| Ausgabenummer | 2 |
| DOIs | |
| Publikationsstatus | Veröffentlicht - Mai 2023 |
Fördermittel
The authors were supported by the Austrian Science Fund (FWF) through grants Y1012 (Fischer and Wohofsky), I4039 (Fischer and Wohofsky), and P28420 (Koelbing). The second author is also grateful for the support by the \u00D6AW DOC fellowship.
ÖFOS 2012
- 101013 Mathematische Logik