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Zeitschriftenartikel:

V. Dimonte:
"Rank-into-rank hypotheses and the failure of GCH";
Archive for Mathematical Logic, 53 (2014), 3-4; S. 351 - 366.



Kurzfassung englisch:
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 .

Schlagworte:
Rank-into-rank, Embedded lifting, Easton forcing


"Offizielle" elektronische Version der Publikation (entsprechend ihrem Digital Object Identifier - DOI)
http://dx.doi.org/10.1007/s00153-014-0369-8


Erstellt aus der Publikationsdatenbank der Technischen Universitšt Wien.