You are not currently logged in.
Access JSTOR through your library or other institution:
If You Use a Screen ReaderThis content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
The Rudin-Blass Ordering of Ultrafilters
Claude Laflamme and Jian-Ping Zhu
The Journal of Symbolic Logic
Vol. 63, No. 2 (Jun., 1998), pp. 584-592
Published by: Association for Symbolic Logic
Stable URL: http://www.jstor.org/stable/2586852
Page Count: 9
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available
We discuss the finite-to-one Rudin-Keisler ordering of ultrafilters on the natural numbers, which we baptize the Rudin-Blass ordering in honour of Professor Andreas Blass who worked extensively in the area. We develop and summarize many of its properties in relation to its bounding and dominating numbers, directedness, and provide applications to continuum theory. In particular, we prove in ZFC alone that there exists an ultrafilter with no Q-point below in the Rudin-Blass ordering.
The Journal of Symbolic Logic © 1998 Association for Symbolic Logic