55Uxx 
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Applied homological algebra and category theory 

[See also 18Gxx] 
55U05 Abstract complexes 55U10 Simplicial sets and complexes 55U15 Chain complexes 55U20 Universal coefficient theorems, Bockstein operator 55U25 Homology of a product, Künneth formula 55U30 Duality 55U35 Abstract and axiomatic homotopy theory 55U40 Topological categories, foundations of homotopy theory 55U99 None of the above, but in this section