9 search results - page 1 / 2 » Easton's theorem and large cardinals |
APAL
2008
13 years 5 months 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()) > ...
APAL
2006
13 years 5 months 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...
JSYML
2008
13 years 5 months 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...
JSYML
2008
13 years 5 months 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...
MLQ
2007
13 years 5 months 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...