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Large cardinals and basic sequences

โœ Scribed by Lopez-Abad, Jordi

Book ID
121192673
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
456 KB
Volume
164
Category
Article
ISSN
0168-0072

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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