Convention: By APF extension, I mean APF extension of $\mathbb{Q_p}$.
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For $\mathbb{Q_p} \subseteq L_1 \subseteq L_2$ where $L_2/L_1$ is finite, we know that $L_1/\mathbb{Q_p}$ is APF iff $L_2/\mathbb{Q_p}$ is APF. But, this statement does not imply that any finite extension of an APF extension is again APF. With these in mind, I have two questions:
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1-Is the composition of a finitely many infinite APF extensions again APF?
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2-What about infinite compositions of infinite APF extensions?