Hostname: page-component-8448b6f56d-42gr6 Total loading time: 0 Render date: 2024-04-18T09:56:58.530Z Has data issue: false hasContentIssue false
  • English
  • Français

On descendingly incomplete ultrafilters

Published online by Cambridge University Press:  12 March 2014

Kenneth Kunen  and
Karel Prikry
Kenneth Kunen
Affiliation:
University of Wisconsin, Madison, Wisconsin 53706
Karel Prikry
Affiliation:
University of Wisconsin, Madison, Wisconsin 53706
Get access Rights & Permissions [Opens in a new window]

Extract

Throughout this paper, the letters α, β, κ, λ will denote infinite cardinals. Other Greek letters range over the ordinals.

The following definition is taken from Chang [1].

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 36 , Issue 4 , December 1971 , pp. 650 - 652
Copyright
Copyright © Association for Symbolic Logic 1972

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1]Chang, C. C., Descendingly incomplete ultrafilters. Transactions of the American Mathematical Society, vol. 126 (1967), pp. 108–118.CrossRefGoogle Scholar
[2]Kunen, K., Two theorems on ultrafilters. Preliminary report, Abstract 70T-E37, Notices of the American Mathematical Society, vol. 17 (1970), p. 673.Google Scholar
[3]Luzin, N. N., On subsets of the series of natural numbers (Russian), Izvestiia Akademii, Nauk SSSR Serijo Matematičeskaja, vol. 11 (1947), pp. 403–410.Google Scholar
[4]Ulam, S., Zur Masstheorie in der allgemeinen Mengenlehre, Fundamenta Mathematicae, vol. 16 (1930), pp. 140–150.CrossRefGoogle Scholar