Publications in Scientific Journals:
V. Dimonte:
"Rank-into-rank hypotheses and the failure of GCH";
Archive for Mathematical Logic,
53
(2014),
3-4;
351
- 366.
English abstract:
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 .
Keywords:
Rank-into-rank, Embedded lifting, Easton forcing
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1007/s00153-014-0369-8
Created from the Publication Database of the Vienna University of Technology.