Remark 3.2 . [059V]
Original official author HTML, exact retained edition. Historical TeX conversion verdicts remain unchanged. Cited-edition alignment and mathematical self-containment are not assessed.
Complete original source context · Original author HTML
Remark 3.2.
We will work with paracompact (i.e. Hausdorff and every open cover has a locally finite refinement) strictly -analytic spaces. As discussed in [GM19, 2.2] the category of these spaces is equivalent to the category of quasiseparated rigid analytic varieties over with a strictly -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 -models of paracompact strictly -analytic spaces exist and that the set of isomorphism classes of formal -models is directed.