# Sh:894

• Mildenberger, H., & Shelah, S. (2009). The near coherence of filters principle does not imply the filter dichotomy principle. Trans. Amer. Math. Soc., 361(5), 2305–2317.
• Abstract:
We show that there is a forcing extension in which any two ultrafilters on \omega are nearly coherent and there is a non-meagre filter that is not nearly ultra. This answers Blass’ longstanding question whether the principle of near coherence of filters is strictly weaker than the filter dichotomy principle.
• Version 2008-04-16_11 (17p) published version (13p)
Bib entry
@article{Sh:894,
author = {Mildenberger, Heike and Shelah, Saharon},
title = {{The near coherence of filters principle does not imply the filter dichotomy principle}},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {361},
number = {5},
year = {2009},
pages = {2305--2317},
issn = {0002-9947},
mrnumber = {2471919},
mrclass = {03E05 (03E17 03E35 54D40)},
doi = {10.1090/S0002-9947-08-04806-X}
}