A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Ultrafilter Mappings and Their Dedekind Cuts

1974
*
Transactions of the American Mathematical Society
*

Let D be an ultrafilter on the set N of natural numbers. To each function p: N -N and each ultrafilter E that is mapped to D by p, we associate a Dedekind cut in the ultrapower ö-prod N. We characterize, in terms of rather simple closure conditions, the cuts obtainable in this manner when various restrictions are imposed on E and p. These results imply existence theorems, some known and some new, for various special kinds of ultrafilters and maps. Although some of what we say can be generalized

doi:10.2307/1996783
fatcat:b5ifrb4kpfh2tp3vdu3cd3aouu