On Milliken-Taylor Ultrafilters
We show that there may be a Milliken-Taylor ultrafilter with infinitely many near coherence classes of ultrafilters in its projection to ω, answering a question by López-Abad. We show that k-colored Milliken-Taylor ultrafilters have at least k+1 near coherence classes of ultrafilters in its projection to ω. We show that the Mathias forcing with a Milliken-Taylor ultrafilter destroys all Milliken-Taylor ultrafilters from the ground model.
Permanent link to this document: http://projecteuclid.org/euclid.ndjfl/1320427643
Digital Object Identifier: doi:10.1215/00294527-1499345
Zentralblatt MATH identifier: 05991005
Mathematical Reviews number (MathSciNet): MR2855877