# Sh:665

• Shelah, S., & Steprāns, J. (2001). The covering numbers of Mycielski ideals are all equal. J. Symbolic Logic, 66(2), 707–718.
• 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.
• published version (13p)
Bib entry
@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},
doi = {10.2307/2695039},
mrclass = {03E35 (03E05 03E10)},
mrnumber = {1833473},
mrreviewer = {Marek Balcerzak},
doi = {10.2307/2695039},
note = {\href{https://arxiv.org/abs/math/9712288}{arXiv: math/9712288}},
arxiv_number = {math/9712288}
}