Sh:665

• Shelah, S., & Steprāns, J. (2001). The covering numbers of Mycielski ideals are all equal. J. Symbolic Logic, 66(2), 707–718. arXiv: math/9712288 DOI: 10.2307/2695039 MR: 1833473
• Abstract:
  The Mycielski ideal M_k is defined to consist of all sets A\subseteq k^\omega such that \{f\restriction X: f\in A\}\neq k^X for all X\in [\omega]^{\aleph_0}. It will be shown that the covering numbers for these ideals are all equal. However, the covering numbers of the closely associated Roslanowski ideals will be shown to be consistently different.
• Version 1998-10-04_11 (13p) published version (13p)

@article{Sh:665,
 author = {Shelah, Saharon and Stepr{\={a}}ns, Juris},
 title = {{The covering numbers of Mycielski ideals are all equal}},
 journal = {J. Symbolic Logic},
 fjournal = {The Journal of Symbolic Logic},
 volume = {66},
 number = {2},
 year = {2001},
 pages = {707--718},
 issn = {0022-4812},
 mrnumber = {1833473},
 mrclass = {03E35 (03E05 03E10)},
 doi = {10.2307/2695039},
 note = {\href{https://arxiv.org/abs/math/9712288}{arXiv: math/9712288}},
 arxiv_number = {math/9712288}
}