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Results tagged with exponential-polynomials
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user 1004
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votes
Accepted
Order type of the smallest set containing the identity function and closed under exponentiation
As Joel showed, the set $E$ is well-ordered with order type no more than the Cantor ordinal $\epsilon_0$. In fact, its order type is exactly $\epsilon_0$. This can be proved by constructing the order …
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