Almost Vector Bundles over Perfectoid Spaces
Yuntong Cui, Guo Li, Shuhan Jiang, Jiahong Yu

TL;DR
This paper introduces the concept of almost vector bundles over perfectoid spaces, proving a $v$-descent theorem and a structure theorem, advancing the understanding of vector bundles in the perfectoid setting.
Contribution
It defines almost vector bundles and proves foundational theorems, including $v$-descent and structure theorems, in the context of perfectoid spaces.
Findings
Established $v$-descent theorem for almost vector bundles
Proved a structure theorem for these bundles
Derived several intermediate results
Abstract
In this paper, we define vector bundles within the framework of almost mathematics (referred to as almost vector bundles) and establish the -descent theorem together with a structure theorem for these bundles over perfectoid spaces. The proof yields several interesting intermediate results.
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Taxonomy
TopicsAdvanced Banach Space Theory · Advanced Topology and Set Theory · Advanced Operator Algebra Research
