# Sh:1114

• Shelah, S., & Steprāns, J. (2018). Trivial and non-trivial automorphisms of \mathcal P(\omega_1)/[\omega_1]^{<\aleph_0}. Fund. Math., 243(2), 155–168.
• Abstract:
The following statement is shown to be independent of set theory with the Continuum Hypothesis: There is an automorphism of \mathcal{P}(\omega_1)/[\omega_1]^{<\aleph_0} whose restriction to \mathcal{P} (\alpha) / [\alpha]^{<\aleph_0} is induced by a bijection for every \alpha \in \omega_1, but the automorphism itself is not induced by any bijection on \omega_1.
• published version (14p)
Bib entry
@article{Sh:1114,
author = {Shelah, Saharon and Stepr{\={a}}ns, Juris},
title = {{Trivial and non-trivial automorphisms of $\mathcal P(\omega_1)/[\omega_1]^{<\aleph_0}$}},
journal = {Fund. Math.},
fjournal = {Fundamenta Mathematicae},
volume = {243},
number = {2},
year = {2018},
pages = {155--168},
issn = {0016-2736},
mrnumber = {3846847},
mrclass = {03E20 (03E35 03G05)},
doi = {10.4064/fm402-11-2017}
}