# Sh:465a

- Shelah, S., & Steprāns, J. (1994).
*Erratum: “Maximal chains in {}^\omega\omega and ultrapowers of the integers” [Arch. Math. Logic 32 (1993), no. 5, 305–319]*. Arch. Math. Logic,**33**(2), 167–168. arXiv: math/9308202 DOI: 10.1007/BF01352936 MR: 1271434

erratum to [Sh:465] -
Abstract:

This note is intended as a supplement and clarification to the proof of Theorem 3.3 of [ShSr:465]; namely, it is consistent that {\mathfrak b}=\aleph_1 yet for every ultrafilter U on \omega there is a \leq^* chain \{f_\xi:\xi\in\omega_2\} such that \{f_\xi/U:\xi\in\omega_2\} is cofinal in \omega/U. - published version (2p)

Bib entry

@article{Sh:465a, author = {Shelah, Saharon and Stepr{\={a}}ns, Juris}, title = {{Erratum: ``Maximal chains in ${}^\omega\omega$ and ultrapowers of the integers'' [Arch. Math. Logic 32 (1993), no. 5, 305--319]}}, journal = {Arch. Math. Logic}, fjournal = {Archive for Mathematical Logic}, volume = {33}, number = {2}, year = {1994}, pages = {167--168}, issn = {0933-5846}, mrnumber = {1271434}, mrclass = {03E05}, doi = {10.1007/BF01352936}, note = {\href{https://arxiv.org/abs/math/9308202}{arXiv: math/9308202} erratum to [Sh:465]}, arxiv_number = {math/9308202}, refers_to_entry = {erratum to [Sh:465]} }