Local structure conjecture for localized intrinsic étale morphisms

Let T1T2T_1\to T_2 be a localized intrinsic étale morphism of strongly sheafy adic spaces. Local structure conjecture. Any localized intrinsic étale morphism of strongly sheafy adic spaces is locally a composition of rational localization and finite étale morphism. This predicts an étale-like local structure for intrinsic morphisms in the category of strongly sheafy adic spaces; the supplied source does not indicate whether the assertion has been proved or remains open.

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Primary source

Xin Tong, “Topologization and Functional Analytification I: Intrinsic Morphisms of Commutative Algebras”, arXiv:2102.10766 (2021).

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