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Weak covering and the tree property

✍ Scribed by Ralf-Dieter Schindler


Publisher
Springer
Year
1999
Tongue
English
Weight
66 KB
Volume
38
Category
Article
ISSN
0933-5846

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## 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