# 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)

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}, 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} }