Amalgamation of nonstandard models of arithmetic

Journal of Symbolic Logic 42 (3):372-386 (1977)
Any two models of arithmetic can be jointly embedded in a third with any prescribed isomorphic submodels as intersection and any prescribed relative ordering of the skies above the intersection. Corollaries include some known and some new theorems about ultrafilters on the natural numbers, for example that every ultrafilter with the "4 to 3" weak Ramsey partition property is a P-point. We also give examples showing that ultrafilters with the "5 to 4" partition property need not be P-points and that the main theorem cannot be improved to allow a prescribed ordering of lower skies
Keywords No keywords specified (fix it)
Categories (categorize this paper)
 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: 9,360
External links
  •   Try with proxy.
  •   Try with proxy.
  • Through your library Configure
    References found in this work BETA

    No references found.

    Citations of this work BETA
    Andreas Blass (1988). Selective Ultrafilters and Homogeneity. Annals of Pure and Applied Logic 38 (3):215-255.
    Michael Canjar (1988). Countable Ultraproducts Without CH. Annals of Pure and Applied Logic 37 (1):1-79.
    Similar books and articles

    Monthly downloads

    Added to index


    Total downloads

    2 ( #258,233 of 1,088,810 )

    Recent downloads (6 months)

    1 ( #69,661 of 1,088,810 )

    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.