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Tutorial: Generic Elementary Embeddings Lecture 3: Towers
 

Summary: Tutorial: Generic Elementary Embeddings
Lecture 3: Towers
Matt Foreman
University of California, Irvine
1
Corrections
2
Additions
A partial ordering P is weakly (, )-saturated iff
given any collection of antichains A : <
where < , there is a dense collection of p P
such that for all <
|{q A : p q = 0}| < .
A forcing exercise: Let < be regular cardi-
nals and |P| . Then
P is weakly (+, )-saturated iff
after forcing with P, cf() > .
3
Generic Elementary embeddings
Suppose that Q is a partial ordering such that

  

Source: Andrews, Peter B. - Department of Mathematical Sciences, Carnegie Mellon University

 

Collections: Mathematics