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- W4288263486 abstract "We give an introduction to constructive category theory by answering two guiding computational questions. The first question is: how do we compute the set of all natural transformations between two finitely presented functors like $mathrm{Ext}$ and $mathrm{Tor}$ over a commutative coherent ring $R$? We give an answer by introducing category constructors that enable us to build up a category which is both suited for performing explicit calculations and equivalent to the category of all finitely presented functors. The second question is: how do we determine the differentials on the pages of a spectral sequence associated to a filtered cochain complex only in terms of operations directly provided by the axioms of an abelian category? Its answer relies on a constructive method for performing diagram chases based on a calculus of relations within an arbitrary abelian category." @default.
- W4288263486 created "2022-07-28" @default.
- W4288263486 creator A5038062301 @default.
- W4288263486 date "2019-08-12" @default.
- W4288263486 modified "2023-09-26" @default.
- W4288263486 title "Methods of constructive category theory" @default.
- W4288263486 doi "https://doi.org/10.48550/arxiv.1908.04132" @default.
- W4288263486 hasPublicationYear "2019" @default.
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