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. DOI: 10.1090/S0002-9947-08-04806-X MR: 2471919
• 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)

@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}
}