Author: Guest Format: Text(guest post from John H) Is there any other similarities to the exponential map over the complex numbers besides having a fixed point (i.e., exp(πi/2) = i)?
(guest post from John H) Is there any other similarities to the exponential map over the complex numbers besides having a fixed point (i.e., exp(πi/2) = i)?
Author: Urs Format: MarkdownItexI have fixed the redirects, so that links like that in [#1](https://nforum.ncatlab.org/discussion/6899/epsilonnumber/?Focus=55822#Comment_55822) work again.
<a href="https://ncatlab.org/nlab/revision/diff/epsilon-number/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/epsilon-number/2">v2</a>, <a href="https://ncatlab.org/nlab/show/epsilon-number">current</a>
I have fixed the redirects, so that links like that in #1 work again.
Author: nLab edit announcer Format: MarkdownItexThe limit of $\beta, \omega^{\beta} ,\omega^{\omega^{\beta}},\dots$ does NOT give an ordinal greater than $\beta$ when $\beta$ is an $\varepsilon$-number, because all these are equal to $\beta$ when $\beta$ is an $\varepsilon$-number.
Dave L. Renfro
<a href="https://ncatlab.org/nlab/revision/diff/epsilon-number/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/epsilon-number/3">v3</a>, <a href="https://ncatlab.org/nlab/show/epsilon-number">current</a>
The limit of does NOT give an ordinal greater than when is an -number, because all these are equal to when is an -number.