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Weak Covering at Large Cardinals
Author(s) -
Schindler Ralf Dieter
Publication year - 1997
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.19970430103
Subject(s) - mathematics , regular cardinal , transitive relation , core model , combinatorics , discrete mathematics , mathematical analysis
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 strong cardinal), then there is a transitive set M with M ⊨ ZFC + “there is a strong cardinal”.
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