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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Definable automorphisms of $\mathcal {P}(\omega )/\mathrm {fin}$
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by Boban Veliฤkoviฤ‡ PDF
Proc. Amer. Math. Soc. 96 (1986), 130-135 Request permission

Abstract:

We investigate definable automorphisms of $\mathcal {P}\left ( \omega \right )/{\text {fin}}$ and show that e.g. every Borel automorphism is trivial. The existence of nontrivial projective automorphisms is consistent and independent from ${\text {ZFC + CH}}$.
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 96 (1986), 130-135
  • MSC: Primary 03E35; Secondary 03E15
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0813825-8
  • MathSciNet review: 813825