TY - JOUR
T1 - Cardinal characteristics of the continuum and partitions
AU - Chen, William
AU - Garti, Shimon
AU - Weinert, Thilo
N1 - Publisher Copyright:
© 2019, The Hebrew University of Jerusalem.
PY - 2020/1/1
Y1 - 2020/1/1
N2 - We prove that for regular cardinals κ, combinations of the stick principle at κ and certain cardinal characteristics at κ being κ+ cause partition relations such as κ+ → (κ+, (κ : 2))2 and (κ+)2 → (κ+κ, 4)2 to fail. Polarised partition relations are also considered, and the results are used to answer several problems posed by Garti, Larson and Shelah.
AB - We prove that for regular cardinals κ, combinations of the stick principle at κ and certain cardinal characteristics at κ being κ+ cause partition relations such as κ+ → (κ+, (κ : 2))2 and (κ+)2 → (κ+κ, 4)2 to fail. Polarised partition relations are also considered, and the results are used to answer several problems posed by Garti, Larson and Shelah.
UR - http://www.scopus.com/inward/record.url?scp=85074784352&partnerID=8YFLogxK
U2 - 10.1007/s11856-019-1942-y
DO - 10.1007/s11856-019-1942-y
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AN - SCOPUS:85074784352
SN - 0021-2172
VL - 235
SP - 13
EP - 38
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 1
ER -