𝔖 Bobbio Scriptorium
✦   LIBER   ✦

VON NEUMANN'S PROBLEM AND LARGE CARDINALS

✍ Scribed by FARAH, ILIJAS; VELICKOVIC, BOBAN


Book ID
117999605
Publisher
Oxford University Press
Year
2006
Tongue
English
Weight
124 KB
Volume
38
Category
Article
ISSN
0024-6093

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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