Weak covering and the tree property
β Scribed by Ralf-Dieter Schindler
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 66 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0933-5846
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We construct a model in which there are no + n -Aronszajn trees for any finite n 2, starting from a model with infinitely many supercompact cardinals. We also construct a model in which there is no } ++ -Aronszajn tree for } a strong limit cardinal of cofinality |, starting from a model with a super
## Abstract We show that weakly compact cardinals are the smallest large cardinals __k__ where __k__^+^ < __k__^+^ is impossible provided 0^#^ does not exist. We also show that if __k__^+^^Kc^ < __k__^+^ for some __k__ being weakly compact (where K^c^ is the countably complete core model below one