Stacking mice

Journal of Symbolic Logic 74 (1):315-335 (2009)
Abstract
We show that either of the following hypotheses imply that there is an inner model with a proper class of strong cardinals and a proper class of Woodin cardinals. 1) There is a countably closed cardinal k ≥ N₃ such that □k and □(k) fail. 2) There is a cardinal k such that k is weakly compact in the generic extension by Col(k, k⁺). Of special interest is 1) with k = N₃ since it follows from PFA by theorems of Todorcevic and Velickovic. Our main new technical result, which is due to the first author, is a weak covering theorem for the model obtained by stacking mice over $K^c ||k.$
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
 
Download options
PhilPapers Archive


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 11,392
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA

No references found.

Citations of this work BETA
Christoph Weiß (2012). The Combinatorial Essence of Supercompactness. Annals of Pure and Applied Logic 163 (11):1710-1717.
Similar books and articles
Itay Neeman & John Steel (1999). A Weak Dodd-Jensen Lemma. Journal of Symbolic Logic 64 (3):1285-1294.
Daniel W. Cunningham (1998). The Fine Structure of Real Mice. Journal of Symbolic Logic 63 (3):937-994.
Ernest Schimmerling (2001). The Abc's of Mice. Bulletin of Symbolic Logic 7 (4):485-503.
Randolph M. Feezell (1984). Of Mice and Men. Modern Schoolman 61 (4):259-265.
Ross Cogan (1998). Dudman and the Plans of Mice and Men. Philosophical Quarterly 48 (190):88-95.
Analytics

Monthly downloads

Added to index

2010-09-12

Total downloads

3 ( #298,062 of 1,102,930 )

Recent downloads (6 months)

1 ( #297,435 of 1,102,930 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Start a new thread
Order:
There  are no threads in this forum
Nothing in this forum yet.