ScalingStacks

Remark 3.2 . [059V]

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Remark 3.2.

We will work with paracompact (i.e. Hausdorff and every open cover has a locally finite refinement) strictly KK-analytic spaces. As discussed in [GM19, 2.2] the category of these spaces is equivalent to the category of quasiseparated rigid analytic varieties over KK with a strictly KK-affinoid G-covering of finite type ([Ber93, 1.6]). This allows us to apply Raynaud’s theorem ([Bos14, Theorem 8.4.3]) which shows that formal K∘K^{\circ}-models of paracompact strictly KK-analytic spaces exist and that the set of isomorphism classes of formal K∘K^{\circ}-models is directed.

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