Namely, we can demand the existence of a tensor product that is left adjoint to the internal Hom functor . In this approach, closed monoidal catego...

If there is a monoidal functor from a monoidal category M to a monoidal category N , then any category enriched over M can be reinterpreted as a ca...

G -sets are nothing but functors from this category to Set The category of all directed graphs is cartesian closed; this is a functor category as e...

Yoneda's lemma asserts that every natural transformation between Hom functors is of this form. In other words, the Hom functors give rise to a full...

Set (with the monoidal structure induced by the cartesian product) is a monoid in the usual sense. A monoid object in Top (with the monoidal struct...

Subcategory Faithful functor Full functor Forgetful functor Yoneda lemma Representable functor Functor category Adjoint functors Galois connection ...

Limits and universal morphisms Colimits in comma categories may be "inherited". If and are cocomplete, is a cocontinuous functor, and another funct...

Ab is injective if and only if it is divisible ; it is projective if and only if it is a free abelian group. The category has a projective generato...

Auto magma object - Wikipedia, the free encyclopedia Auto magma object From Wikipedia, the free encyclopedia   (Redirected from Magma object ) Jump...

This is a glossary of tensor theory . For expositions of tensor theory from different points of view, see: Tensor Classical treatment of tensors Te...

Intrinsic y = r ( s ) s = t Parametric Cartesian x = x ( t ) y = y ( t ) Involute Parametric Cartesian x = x ( t ) y = y ( t ) Pedal curve with ped...

Two dimensional orthogonal coordinate systems Cartesian coordinate system Polar coordinate system Parabolic coordinate system Bipolar coordinates B...