TY - JOUR
T1 - Weak reflection at the successor of a singular cardinal
AU - Džamonja, Mirna
AU - Shelah, Saharon
PY - 2003/2
Y1 - 2003/2
N2 - The notion of stationary reflection is one of the most important notions of combinatorial set theory. Weak reflection, which is, as its name suggests, a weak version of stationary reflection, is investigated. The main result is that modulo a large cardinal assumption close to 2-hugeness, there can be a regular cardinal κ such that the first cardinal weakly reflecting at κ is the successor of a singular cardinal. This answers a question of Cummings, Džamonja and Shelah.
AB - The notion of stationary reflection is one of the most important notions of combinatorial set theory. Weak reflection, which is, as its name suggests, a weak version of stationary reflection, is investigated. The main result is that modulo a large cardinal assumption close to 2-hugeness, there can be a regular cardinal κ such that the first cardinal weakly reflecting at κ is the successor of a singular cardinal. This answers a question of Cummings, Džamonja and Shelah.
UR - http://www.scopus.com/inward/record.url?scp=0038245204&partnerID=8YFLogxK
U2 - 10.1112/S0024610702003757
DO - 10.1112/S0024610702003757
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AN - SCOPUS:0038245204
SN - 0024-6107
VL - 67
SP - 1
EP - 15
JO - Journal of the London Mathematical Society
JF - Journal of the London Mathematical Society
IS - 1
ER -