Definition of Functorial. Meaning of Functorial. Synonyms of Functorial

Here you will find one or more explanations in English for the word Functorial. Also in the bottom left of the page several parts of wikipedia pages related to the word Functorial and, of course, Functorial synonyms and on the right images related to the word Functorial.

Definition of Functorial

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Meaning of Functorial from wikipedia

- fundamental groupoid instead of the fundamental group, and this construction is functorial. Algebra of continuous functions A contravariant functor from the category...
- together with the rich organisational structure hypothesised (so-called functoriality). For example, in the work of Harish-Chandra one finds the principle...
- construction of W′ is functorial for smooth morphisms to W and embeddings of W into a larger variety. (It cannot be made functorial for all (not necessarily...
- {\displaystyle p\colon T\to A} . The set of all T-valued points of A varies functorially with T, giving rise to the "functor of points" of A; according to the...
- In mathematics, deformation theory is the study of infinitesimal conditions ****ociated with varying a solution P of a problem to slightly different solutions...
- Phrased in the language of category theory, homological algebra studies the functorial properties of various constructions of chain complexes and of the homology...
- they are called Closed Monoidal Functors. Applicative functors allow for functorial com****tions to be sequenced (unlike plain functors), but don't allow...
- ( Y ) , {\displaystyle V_{k}(X)\hookrightarrow V_{k}(Y),} and this is functorial. More subtly, given an n-dimensional vector space X, the dual basis construction...
- context-free grammars with context-sensitive conditions; Categorical (or "functorial") semantics uses category theory as the core mathematical formalism. Categorical...
- is that the operation of taking the dual vector space is functorial. There are many functorial operations which can be performed on pairs of vector spaces...