Dimonte, V., & Friedman, S.-D. (2014). Rank-into-rank hypotheses and the failure of GCH. Archive for Mathematical Logic, 53(3–4), 351–366. https://doi.org/10.1007/s00153-014-0369-8
In this paper we are concerned about the ways GCH can fail in relation to rank-into-rank hypotheses, i.e., very large cardinals usually denoted by I3, I2, I1 and I0. The main results are a satisfactory analysis of the way the power function can vary on regular cardinals in the presence of rank-into-rank hypotheses and the consistency under I0 of the existence of j:Vλ+1≺Vλ+1 with the failure of GCH at λ .
en
Research Areas:
außerhalb der gesamtuniversitären Forschungsschwerpunkte: 100%
