Jensen claimed that for any finite increasing sequence countable admissible ordinals $\omega= \alpha_0<\alpha_1\cdots <\alpha_n$, there is a real $x$ so that, for each $m\leq n$, $\alpha_m$ is the $m+1$-th admissible ordinal relative to $x$.

Anybody knows the proof? Or where to find it?

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mathematik.hu-berlin.de/~raesch/org/jensen.html (The paper titled "Admissible sets") –  Andres Caicedo Apr 5 '12 at 3:05
Thanks. It's really painful to read the handwritten manuscripts... –  喻 良 Apr 5 '12 at 3:32
(I just emailed you a typeset version of the notes.) –  Andres Caicedo Apr 5 '12 at 6:27
Hello Andres. Can you email me typset version of the notes too? hollowdead1@gmail.com –  user16974 Aug 25 '12 at 13:46
Andres me too? gerdes@invariant.org –  Peter Gerdes Jan 12 '13 at 11:40