Construction of a rigid Aronszajn tree

Avraham, Uri

doi:10.1090/S0002-9939-1979-0539646-8

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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Construction of a rigid Aronszajn tree
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by Uri Avraham PDF

Proc. Amer. Math. Soc. 77 (1979), 136-137 Request permission

Abstract:

We construct in ZFC an Aronszajn tree with no automorphism.

References

Haim Gaifman and E. P. Specker, Isomorphism types of trees, Proc. Amer. Math. Soc. 15 (1964), 1–7. MR 168484, DOI 10.1090/S0002-9939-1964-0168484-2
Thomas J. Jech, Automorphisms of $\omega _{1}$-trees, Trans. Amer. Math. Soc. 173 (1972), 57–70. MR 347605, DOI 10.1090/S0002-9947-1972-0347605-1