Uniqueness of tetration. Small lemma.
#7
Now that I can understand it, this is an amazing graph, showing the fractal copies of the main tetration curve distorted and duplicated with singularities into each vertical strip of the function.

In the tetration curve, the imaginary value for f(z) at the real axis is equal to zero for all z>=-2. For the solution based on the fixed point, is the imaginary value of f(z) nonzero everywhere outside of the real axis? Otherwise it would seem likely that there would be other singularities, outside of the real axis.
- Sheldon
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