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
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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. - Version 2017-11-06_11 (15p) 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} }