Categories (Mathematics)

Tensor fields.

Duality theory (Mathematics)

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 > Applied homological algebra and category theory [See also 18Gxx] > Duality.

Associative rings and algebras {For the commutative case, see 13-XX} > Modules, bimodules and ideals > Module categories [See also 16Gxx, 16S90]; module theory in a category-theoretic context; Morit.

Manifolds and cell complexes {For complex manifolds, see 32Qxx} > Low-dimensional topology > Invariants of knots and 3-manifolds.

Nonassociative rings and algebras > Lie algebras and Lie superalgebras {For Lie groups, see 22Exx} > Quantum groups (quantized enveloping algebras) and related deformations [See also 16T20, 20G42, 8.