Weak reflection at the successor of a singular cardinal

by Dzamonja and Shelah. [DjSh:691]
J London Math Soc, 2003
The notion of stationary reflection is one of the most important notions of combinatorial set theory. We investigate weak reflection, which is, as its name suggests, a weak version of stationary reflection. Our main result is that modulo a large cardinal assumption close to 2-hugeness, there can be a regular cardinal kappa such that the first cardinal weakly reflecting at kappa is the successor of a singular cardinal. This answers a question of Cummings, Dzamonja and Shelah.

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