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< 18Fxx | 18-XX | >
18-XX Category theory; homological algebra {For commutative rings see 13Dxx, for associative rings 16Exx, for groups 20Jxx, for topological groups and related structures 57Txx; see also 55Nxx and 55Uxx for algebraic topology}
18Gxx Homological algebra [See also 13Dxx, 16Exx, 20Jxx, 55Nxx, 55Uxx, 57Txx]
18G05   Projectives and injectives [See also 13C10, 13C11, 16D40, 16D50]
18G10   Resolutions; derived functors [See also 13D02, 16E05, 18E25]
18G15   Ext and Tor, generalizations, K√ľnneth formula [See also 55U25]
18G20   Homological dimension [See also 13D05, 16E10]
18G25   Relative homological algebra, projective classes
18G30   Simplicial sets, simplicial objects (in a category) [See also 55U10]
18G35   Chain complexes [See also 18E30, 55U15]
18G40   Spectral sequences, hypercohomology [See also 55Txx]
18G50   Nonabelian homological algebra
18G55   Homotopical algebra
18G60   Other (co)homology theories [See also 19D55, 46L80, 58J20, 58J22]
18G99   None of the above, but in this section
< 18Fxx | 18-XX | >
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