Ultrafilters on omega --- their ideals and their cardinal characteristics
Logic
2016-09-07 v1
Abstract
For a free ultrafilter U on omega we study several cardinal characteristics which describe part of the combinatorial structure of U. We provide various consistency results; e.g. we show how to force simultaneously many characters and many pi --characters. We also investigate two ideals on the Baire space omega^omega naturally related to U and calculate cardinal coefficients of these ideals in terms of cardinal characteristics of the underlying ultrafilter.
Keywords
Cite
@article{arxiv.math/9710217,
title = {Ultrafilters on omega --- their ideals and their cardinal characteristics},
author = {Jörg Brendle and Saharon Shelah},
journal= {arXiv preprint arXiv:math/9710217},
year = {2016}
}