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Complete the global rigid–Berkovich comparison functor #27

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@dagurtomas

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Implement the canonical Berkovich-to-rigid functor, prove full faithfulness, characterize its paracompact essential image, construct the quasi-inverse, and package the final equivalence.

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This is blocked on the global cores (#21 and #22) and their canonical affinoid realizations (#24 and #25).

This issue is available for advance planning or dependency work; coordinate before implementing comparison wrappers.

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    blockedBlocked on another issue or foundational resultenhancementNew feature or requesthelp wantedExtra attention is neededlargeA substantial multi-stage task

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