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math.LO2011★ 2 cited
Consecutive singular cardinals and the continuum function
Arthur W. Apter, Brent Cody
We show that from a supercompact cardinal κ, there is a forcing extension V[G] that has a symmetric inner model N in which ZF + not AC holds, κ and κ^+ are both singular, and the c…
math.LO2011★ 1 cited
The failure of GCH at a degree of supercompactness
Brent Cody
We determine the large cardinal consistency strength of the existence of a -supercompact cardinal such that GCH fails at . Indeed, we show that the existence of a -sup…