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