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Enriched coverages and sheaves under change of base

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arxiv 2405.19529 v4 pith:FX4IWGE3 submitted 2024-05-29 math.CT math.RA

Ariel E. Rosenfield This is my paper · ORCID
classification math.CTmath.RA
keywords enrichedbasechangecategorycoveragesfunctorinjectivemapping
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We investigate how change of enriching base category via a faithful, conservative right adjoint functor interacts with enriched coverages and sheaves on a given enriched category. We prove that change of base via such a functor gives rise both to an injective mapping on subobjects in enriched presheaf categories, and to an injective mapping on enriched coverages. In case the base change functor is also full, the enriched associated sheaf construction on a presheaf category commutes with base change.

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Cited by 1 Pith paper

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  1. Topological Vector Spaces

    math.AG 2025-09 conditional novelty 6.0 of 10

    A condensed version of the Topological Vector Spaces category is introduced, and fully faithful embeddings from algebraic p-adic vector spaces and from perfect complexes on the Fargues–Fontaine curve are proven.

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