Identity crises and strong compactness

Journal of Symbolic Logic 65 (4):1895-1910 (2000)
Combining techniques of the first author and Shelah with ideas of Magidor, we show how to get a model in which, for fixed but arbitrary finite n, the first n strongly compact cardinals κ 1 ,..., κ n are so that κ i for i = 1,..., n is both the i th measurable cardinal and κ + i supercompact. This generalizes an unpublished theorem of Magidor and answers a question of Apter and Shelah
Keywords Strongly Compact Cardinal   Supercompact Cardinal   Measurable Cardinal   Identity Crisis   Reverse Easton Iteration
Categories (categorize this paper)
DOI 10.2307/2695085
 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: 15,904
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.

Add more references

Citations of this work BETA
Joel D. Hamkins (2009). Tall Cardinals. Mathematical Logic Quarterly 55 (1):68-86.

Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

4 ( #405,485 of 1,725,465 )

Recent downloads (6 months)

2 ( #268,753 of 1,725,465 )

How can I increase my downloads?

My notes
Sign in to use this feature

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