Sh:642

• Brendle, J., & Shelah, S. (1999). Ultrafilters on \omega—their ideals and their cardinal characteristics. Trans. Amer. Math. Soc., 351(7), 2643–2674. arXiv: math/9710217 DOI: 10.1090/S0002-9947-99-02257-6 MR: 1686797
• Abstract:
  For a free ultrafilter \mathcal U on \omega we study several cardinal characteristics which describe part of the combinatorial structure of \mathcal 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 \mathcal U and calculate cardinal coefficients of these ideals in terms of cardinal characteristics of the underlying ultrafilter.
• Version 1997-10-07_10 (37p) published version (32p)

@article{Sh:642,
 author = {Brendle, J{\"o}rg and Shelah, Saharon},
 title = {{Ultrafilters on $\omega$---their ideals and their cardinal characteristics}},
 journal = {Trans. Amer. Math. Soc.},
 fjournal = {Transactions of the American Mathematical Society},
 volume = {351},
 number = {7},
 year = {1999},
 pages = {2643--2674},
 issn = {0002-9947},
 mrnumber = {1686797},
 mrclass = {03E05 (03E35)},
 doi = {10.1090/S0002-9947-99-02257-6},
 note = {\href{https://arxiv.org/abs/math/9710217}{arXiv: math/9710217}},
 arxiv_number = {math/9710217}
}