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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18Fxx |
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Categories in geometry and topology |
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18F05 |
Local categories and functors |
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18F10 |
Grothendieck topologies and Grothendieck topoi [See also 14F20, 18B25] |
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18F15 |
Abstract manifolds and fiber bundles (category-theoretic aspects) [See also 55Rxx, 57Pxx] |
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18F20 |
Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) [See also 14F06, 14F08, 32C35, 32L10, 54B40, 55N30] |
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18F25 |
Algebraic $K$-theory and $L$-theory (category-theoretic aspects) [See also 11Exx, 11R70, 11S70, 12-XX, 13D15, 14Cxx, 16E20, 19-XX, 46L80, 57R65, 57R67] |
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18F30 |
Grothendieck groups (category-theoretic aspects) [See also 13D15, 16E20, 19Axx] |
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18F40 |
Synthetic differential geometry, tangent categories, differential categories |
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18F50 |
Goodwillie calculus and functor calculus |
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18F60 |
Categories of topological spaces and continuous mappings [See also 54-XX] |
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18F70 |
Frames and locales, pointfree topology, Stone duality [See also 06D22, 18B35] |
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18F75 |
Quantales [See also 06F07, 18B35] |
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18F99 |
None of the above, but in this section |