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• W3208724360 startingPage "2175" @default.
• W3208724360 abstract "Magnitude is a numerical invariant of enriched categories, including in particular metric spaces as $[0,infty)$-enriched categories. We show that in many cases magnitude can be categorified to a homology theory for enriched categories, which we call magnitude homology (in fact, it is a special sort of Hochschild homology), whose graded Euler characteristic is the magnitude. Magnitude homology of metric spaces generalizes the Hepworth--Willerton magnitude homology of graphs, and detects geometric information such as convexity." @default.
• W3208724360 created "2021-11-08" @default.
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• W3208724360 date "2021-10-31" @default.
• W3208724360 modified "2023-09-26" @default.
• W3208724360 title "Magnitude homology of enriched categories and metric spaces" @default.
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• W3208724360 doi "https://doi.org/10.2140/agt.2021.21.2175" @default.
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