Supercompact cardinals, trees of normal ultrafilters, and the partition property
Journal of Symbolic Logic 51 (3):701-708 (1986)
| Abstract | Suppose κ is a supercompact cardinal. It is known that for every λ ≥ κ, many normal ultrafilters on P κ (λ) have the partition property. It is also known that certain large cardinal assumptions imply the existence of normal ultrafilters without the partition property. In [1], we introduced the tree T of normal ultrafilters associated with κ. We investigate the distribution throughout T of normal ultrafilters with and normal ultrafilters without the partition property | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | ||||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,672 |
| External links |
 |
| Through your library | Configure |
Similar books and articlesAndrzej Rosłanowski & Saharon Shelah (2010). Reasonable Ultrafilters, Again. Notre Dame Journal of Formal Logic 52 (2):113-147.
Christopher Barney (2003). Ultrafilters on the Natural Numbers. Journal of Symbolic Logic 68 (3):764-784.
William S. Zwicker (1986). Pκλ Combinatorics II: The RK Ordering Beneath a Supercompact Measure. Journal of Symbolic Logic 51 (3):604 - 616.
James E. Baumgartner (1995). Ultrafilters on Ω. Journal of Symbolic Logic 60 (2):624-639.
Andreas Blass (1977). Amalgamation of Nonstandard Models of Arithmetic. Journal of Symbolic Logic 42 (3):372-386.
Michael Benedikt (1998). Ultrafilters Which Extend Measures. Journal of Symbolic Logic 63 (2):638-662.
Kenneth Kunen & Donald H. Pelletier (1983). On a Combinatorial Property of Menas Related to the Partition Property for Measures on Supercompact Cardinals. Journal of Symbolic Logic 48 (2):475-481.
Julius B. Barbanel (1982). Supercompact Cardinals and Trees of Normal Ultrafilters. Journal of Symbolic Logic 47 (1):89-109.
Julius B. Barbanel (1993). On the Relationship Between the Partition Property and the Weak Partition Property for Normal Ultrafilters on Pκλ. Journal of Symbolic Logic 58 (1):119 - 127.
Julius B. Barbanel (1992). A Note on a Result of Kunen and Pelletier. Journal of Symbolic Logic 57 (2):461-465.
Analytics
Monthly downloads
Sorry, there are not enough data points to plot this chart.
|
Added to index2009-01-28Total downloads0Recent downloads (6 months)0How can I increase my downloads? |
My notes
Discussion
