Diagonalising an ultrafilter and preserving a $P$-point
Volume 246 / 2019
Fundamenta Mathematicae 246 (2019), 9-26
MSC: Primary 03E05; Secondary 03E35, 05C55.
DOI: 10.4064/fm583-8-2018
Published online: 15 February 2019
Abstract
With Ramsey-theoretic methods we show: It is consistent that there is a forcing that diagonalises one ultrafilter over $\omega $ and preserves another ultrafilter.