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Diagonalising an ultrafilter and preserving a $P$-point

Volume 246 / 2019

Heike Mildenberger Fundamenta Mathematicae 246 (2019), 9-26 MSC: Primary 03E05; Secondary 03E35, 05C55. DOI: 10.4064/fm583-8-2018 Published online: 15 February 2019


With Ramsey-theoretic methods we show: It is consistent that there is a forcing that diagonalises one ultrafilter over $\omega $ and preserves another ultrafilter.


  • Heike MildenbergerAbteilung für Mathematische Logik
    Mathematisches Institut
    Albert-Ludwigs-Universität Freiburg
    Ernst-Zermelo-Straße 1
    79104 Freiburg im Breisgau, Germany

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