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what is separation of powers - Malaeb

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 But in contest math, likely intent is: the number of sheets is 5, so the covering has 5 preimages per loop, but the image group has index 5.

📌 Alternative: perhaps the question means the size of the fiber — which is always 5 in a connected 5-sheeted covering.

📌 But for the purpose of a math olympiad, likely expects: the index is 5, but order is the number of sheets — 5.

📌 Given the context, the intended answer is likely 5, interpreting order as the number of preimages.

📌 Unless the question means: how many preimages are there? Answer: 5.

📌 Perhaps the question is: what is the degree of the covering? Answer: 5.

📌 But to resolve: in covering space theory, the number of sheets is the size of the fiber, which is constant. So a 5-sheeted cover has 5 preimages per point.

📌 Therefore, order of the image is not finite. But perhaps the question meant: what is the number of sheets?

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