TY - JOUR
T1 - On the consistency of local and global versions of chang’s conjecture
AU - Eskew, Monroe
AU - Hayut, Yair
N1 - Publisher Copyright:
© 2017 American Mathematical Society.
PY - 2018/4
Y1 - 2018/4
N2 - We show that for many pairs of infinite cardinals κ > μ+ > μ, (κ+, κ) ↠ (μ+, μ) is consistent relative to the consistency of a supercompact cardinal. We also show that it is consistent, relative to a huge cardinal, that (κ+, κ) ↠ (μ+, μ) for every successor cardinal κ and every μ < κ, answering a question of Foreman.
AB - We show that for many pairs of infinite cardinals κ > μ+ > μ, (κ+, κ) ↠ (μ+, μ) is consistent relative to the consistency of a supercompact cardinal. We also show that it is consistent, relative to a huge cardinal, that (κ+, κ) ↠ (μ+, μ) for every successor cardinal κ and every μ < κ, answering a question of Foreman.
UR - http://www.scopus.com/inward/record.url?scp=85040835906&partnerID=8YFLogxK
U2 - 10.1090/tran/7260
DO - 10.1090/tran/7260
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:85040835906
SN - 0002-9947
VL - 370
SP - 2879
EP - 2905
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
IS - 4
ER -