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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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PFA implies all automorphisms are trivial
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by Saharon Shelah and Juris Steprāns
Proc. Amer. Math. Soc. 104 (1988), 1220-1225
DOI: https://doi.org/10.1090/S0002-9939-1988-0935111-X
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Abstract:

It is shown that PFA implies that all automorphisms of the Boolean algebra $\mathcal {P}\left ( \omega \right )$/Finite are induced by almost-permutations of $\omega$.
References
    U. Abraham, M. Rubin, and S. Shelah, On the consistency of some partition theorems for continuous colorings and the structure of ${\aleph _1}$-dense real order types.
  • Saharon Shelah, Proper forcing, Lecture Notes in Mathematics, vol. 940, Springer-Verlag, Berlin-New York, 1982. MR 675955
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Bibliographic Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 104 (1988), 1220-1225
  • MSC: Primary 03E05; Secondary 03E35
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0935111-X
  • MathSciNet review: 935111