TY - JOUR
T1 - Consistently P(ω 1) is the union of less than 2ℵ1 strongly independent families
AU - Komjáth, Péter
AU - Shelah, Saharon
N1 - Publisher Copyright:
© 2017, Hebrew University of Jerusalem.
PY - 2017/3/1
Y1 - 2017/3/1
N2 - It is consistent that P(ω1) is the union of less than 2ℵ1 parts such that if A0,.., An−1, B0,.., Bm−1 are distinct elements of the same part, then |A0 ∩ · · · ∩ An−1 ∩ (ω1 − B0) ∩ · · ·∩ (ω1 − Bm−1)| = N1.
AB - It is consistent that P(ω1) is the union of less than 2ℵ1 parts such that if A0,.., An−1, B0,.., Bm−1 are distinct elements of the same part, then |A0 ∩ · · · ∩ An−1 ∩ (ω1 − B0) ∩ · · ·∩ (ω1 − Bm−1)| = N1.
UR - http://www.scopus.com/inward/record.url?scp=85015755896&partnerID=8YFLogxK
U2 - 10.1007/s11856-017-1463-5
DO - 10.1007/s11856-017-1463-5
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AN - SCOPUS:85015755896
SN - 0021-2172
VL - 218
SP - 165
EP - 173
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 1
ER -