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- W4287182775 abstract "We develop the notion of a geometric covering of a rigid space X, which yields a much larger class of covering spaces than that studied previously by de Jong. Geometric coverings of X are closed under disjoint unions and are 'etale local on X. If X is connected, its geometric coverings form a tame infinite Galois category, and hence are classified by a topological group. The definition is based on the property of lifting of geometric arcs, making it similar to geometric coverings of schemes studied by Bhatt and Scholze as well as semicoverings of topological spaces introduced by Brazas." @default.
- W4287182775 created "2022-07-25" @default.
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- W4287182775 date "2021-05-11" @default.
- W4287182775 modified "2023-09-26" @default.
- W4287182775 title "Geometric arcs and fundamental groups of rigid spaces" @default.
- W4287182775 doi "https://doi.org/10.48550/arxiv.2105.05184" @default.
- W4287182775 hasPublicationYear "2021" @default.
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