| 18-XX |
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Category theory; homological algebra {For commutative rings, see 13Dxx; for associative rings, see 16Exx; for groups, see 20Jxx; for topological groups and related structures, see 57Txx; for algebraic topology, see also 55Nxx, 55Uxx} |
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18Gxx |
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Homological algebra in category theory, derived categories and functors [See also 13Dxx, 16Exx, 20Jxx, 55Nxx, 55Uxx, 57Txx] |
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18G05 |
Projectives and injectives (category-theoretic aspects) [See also 13C10, 13C11, 16D40, 16D50] |
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18G10 |
Resolutions; derived functors (category-theoretic aspects) [See also 13D02, 16E05, 18Gxx] |
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18G15 |
Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) [See also 55U25] |
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18G20 |
Homological dimension (category-theoretic aspects) [See also 13D05, 16E10] |
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18G25 |
Relative homological algebra, projective classes (category-theoretic aspects) |
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18G31 |
Simplicial modules and Dold-Kan correspondence |
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18G35 |
Chain complexes (category-theoretic aspects), dg categories [See also 14F08, 18G80, 55U15] |
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18G40 |
Spectral sequences, hypercohomology [See also 55Txx] |
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18G45 |
2-groups, crossed modules, crossed complexes |
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18G50 |
Nonabelian homological algebra (category-theoretic aspects) |
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18G65 |
Stable module categories [See also 20C20] |
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18G70 |
$A_{\infty}$-categories, relations with homological mirror symmetry [See also 14F08, 14J33, 53D37] |
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18G80 |
Derived categories, triangulated categories |
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18G85 |
Graph complexes and graph homology {For relations with deformation quantization, see 53D55} |
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18G90 |
Other (co)homology theories (category-theoretic aspects) [See also 19D55, 46L80, 58J20, 58J22] |
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18G99 |
None of the above, but in this section |
