Definition of Functorial. Meaning of Functorial. Synonyms of Functorial

- fundamental groupoid instead of the fundamental group, and this construction is functorial. Algebra of continuous functions A contravariant functor from the category...
- together with its rich organisational structure hypothesised (so-called functoriality). Harish-Chandra's work exploited the principle that what can be done...
- Phrased in the language of category theory, homological algebra studies the functorial properties of various constructions of chain complexes and of the homology...
- {\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...
- functions. The restriction morphisms are required to satisfy two additional (functorial) properties: For every open set U {\displaystyle U} of X {\displaystyle...
- In algebraic geometry, divisors are a generalization of codimension-1 subvarieties of algebraic varieties. Two different generalizations are in common...
- the special case of probability measures, this property amounts to functoriality of the Giry monad. If ( Ω , F , P ) {\displaystyle (\Omega ,{\mathcal...
- 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...
- In mathematics, a D-module is a module over a ring D of differential operators. The major interest of such D-modules is as an approach to the theory of...
- cylindric algebras (when equality is part of the logic) and Lawvere's functorial semantics (a categorical approach). Michiel Hazewinkel (2000). Handbook...