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The hitchhiker guide to Categorical Banach space theory. Part II

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arxiv 2110.06300 v1 pith:LF5FIDBW submitted 2021-10-12 math.FA

Jesús M. F. Castillo This is my paper · ORCID
classification math.FA
keywords banachcategoricalcategoryderivedparttheoryabelianadvanced
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What has category theory to offer to Banach spacers? In this second part survey-like paper we will focus on very much needed advanced categorical and homological elements, such as Kan extensions, derived category and derived functor or Abelian hearts of Banach spaces.

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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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