# 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. DOI: 10.4064/fm402-11-2017 MR: 3846847 -
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}, doi = {10.4064/fm402-11-2017}, mrclass = {03E20 (03E35 03G05)}, mrnumber = {3846847}, mrreviewer = {Andrzej Ros{\l}anowski}, doi = {10.4064/fm402-11-2017} }