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# Definable Automorphisms of $\mathscr{P}(\omega)/\operatorname{fin}$

Boban Veličković
Proceedings of the American Mathematical Society
Vol. 96, No. 1 (Jan., 1986), pp. 130-135
DOI: 10.2307/2045667
Stable URL: http://www.jstor.org/stable/2045667
Page Count: 6
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## Abstract

We investigate definable automorphisms of $\mathscr{P}(\omega)/\operatorname{fin}$ and show that e.g. every Borel automorphism is trivial. The existence of nontrivial projective automorphisms is consistent and independent from ZFC + CH.

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