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Longer titles found: Formal criteria for adjoint functors (view)

searching for Adjoint functors 9 found (145 total)

Heinrich Kleisli (158 words) [view diff] exact match in snippet view article find links to article

Kleisli, H., Every standard construction is induced by a pair of adjoint functors (Proc. Amer. Math. Soc. 16, AMS 544-546) (1965) Heinrich Kleisli at

Fiber functor (790 words) [view diff] exact match in snippet view article find links to article

{\displaystyle a} in X {\displaystyle X} is equivalent to defining adjoint functors a ∗ : T ( X ) ⇆ S e t : a ∗ {\displaystyle a^{*}:{\mathfrak {T}}(X)\leftrightarrows

Derivator (859 words) [view diff] exact match in snippet view article find links to article

then the axiomatization of prederivators which come equipped with adjoint functors f ? ⊣ f ! ⊣ f ∗ ⊣ f ∗ ⊣ f ! {\displaystyle f^{?}\dashv f_{!}\dashv

Topological conjugacy (1,473 words) [view diff] exact match in snippet view article find links to article

isomorphic dynamical systems Adjoint dynamical systems defined via adjoint functors and natural equivalences in categorical dynamics. Commutative diagram

Symmetric algebra (2,050 words) [view diff] exact match in snippet view article find links to article

of category theory, which asserts that the composition of two left adjoint functors is also a left adjoint functor. Here, the forgetful functor from commutative

Spectrum (topology) (3,449 words) [view diff] exact match in snippet view article

QX=\mathop {\text{colim}} _{\to n}\Omega ^{n}\Sigma ^{n}X} , a pair of adjoint functors Σ ∞ : Top ∗ ⇆ Spectra ∗ : Ω ∞ {\displaystyle \Sigma ^{\infty

Grothendieck topology (4,507 words) [view diff] exact match in snippet view article find links to article

of v* denoted v*. Furthermore, v* preserves finite limits, so the adjoint functors v* and v* determine a geometric morphism of topoi C ~ → D ~ {\displaystyle

Localization (commutative algebra) (5,332 words) [view diff] exact match in snippet view article

many properties, by using the fact that the composition of two left adjoint functors is a left adjoint functor. If R = Z {\displaystyle R=\mathbb {Z} }

Stack (mathematics) (5,113 words) [view diff] exact match in snippet view article

corresponding topoi. (The problem is that while one can construct a pair of adjoint functors f*, f*, as needed for a geometric morphism of topoi, the functor f*