We associate such a normalized space to any special formal k-scheme and prove an analogue of Raynaud's theorem, characterizing categorically the spaces obtained in this way. We define normalized versions of Berkovich spaces over a trivially valued field k, obtained as quotients by the action of ℝ >0 defined by rescaling semivaluations. – Transactions of the American Mathematical Society, 370(11), 7815–7859, 2018
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