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70
Voted
APAL
2008
15 years 21 days ago
2008
The continuum function F on regular cardinals is known to have great freedom; if , are regular cardinals, then F needs only obey the following two restrictions: (1) cf(F()) > ...
72
Voted
APAL
2006
15 years 19 days ago
2006
We show that under certain large cardinal requirements there is a generic extension in which the power function behaves differently on different stationary classes. We achieve this...
77
Voted
JSYML
2008
15 years 16 days ago
2008
An important technique in large cardinal set theory is that of extending an elementary embedding j : M N between inner models to an elementary embedding j : M[G] N[G] between ge...
94
Voted
JSYML
2008
15 years 16 days ago
2008
Abstract. We prove new upper bound theorems on the consistency strengths of SPFA(), SPFA(-linked) and SPFA(+ -cc). Our results are in terms of (, )-subcompactness, which is a new l...
87
Voted
MLQ
2007
15 years 2 days ago
2007
Local sentences were introduced by Ressayre in [Res88] who proved certain remarkable stretching theorems establishing the equivalence between the existence of finite models for t...