Open Access
Translator Disclaimer
2011 On Milliken-Taylor Ultrafilters
Heike Mildenberger
Notre Dame J. Formal Logic 52(4): 381-394 (2011). DOI: 10.1215/00294527-1499345

Abstract

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.

Citation

Download Citation

Heike Mildenberger. "On Milliken-Taylor Ultrafilters." Notre Dame J. Formal Logic 52 (4) 381 - 394, 2011. https://doi.org/10.1215/00294527-1499345

Information

Published: 2011
First available in Project Euclid: 4 November 2011

zbMATH: 1258.03056
MathSciNet: MR2855877
Digital Object Identifier: 10.1215/00294527-1499345

Subjects:
Primary: 03E05 , 03E17 , 03E35

Keywords: Forcing , Milliken-Taylor ultrafilters , near coherence classes of ultrafilters , P-points , preserving ultrafilters

Rights: Copyright © 2011 University of Notre Dame

JOURNAL ARTICLE
14 PAGES


SHARE
Vol.52 • No. 4 • 2011
Back to Top