## Isomorphisms of trees

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- Proc. Amer. Math. Soc.
**95**(1985), 95-100 Request permission

## Abstract:

Let $\kappa$, $\lambda$ be cardinals, $\kappa \geq {\aleph _1}$ and regular, and $2 \leq \lambda \leq \kappa$. If $\kappa > {\aleph _1}$ and $\lambda < \kappa$, and if there is a $\kappa$-Suslin ($\kappa$-Aronszajn, $\kappa$-Kurepa) tree, then there are ${2^\kappa }$ normal $\lambda$-ary rigid nonisomorphic $\kappa$-Suslin ($\kappa$-Aronszajn, $\kappa$-Kurepa) trees. If there is a Suslin (Aronszajn, Kurepa) tree, then there is a normal rigid Suslin (Aronszajn, Kurepa) tree. If there is a $\kappa$-Canadian tree, then there are ${2^\kappa }$ normal $\lambda$-ary rigid nonisomorphic $\kappa$-Canadian trees.## References

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## Additional Information

- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**95**(1985), 95-100 - MSC: Primary 04A20; Secondary 03E65
- DOI: https://doi.org/10.1090/S0002-9939-1985-0796454-3
- MathSciNet review: 796454