On the Algebra of Elementary Embeddings of a Rank into Inself

Mathematics – Logic

Scientific paper

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Scientific paper

Let $j:V_\lambda---> V_\lambda$ be an elementary embedding, with critical
point $\kappa$, and let $f(n)$ be the number of critical points of embeddings
in the algebra generated by $j$ which lie between $j^n(\kappa)$ and
$j^{n+1}(\kappa)$. It is shown that $f(n)$ is finite for all $n$.

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