Definition of Functorially. Meaning of Functorially. Synonyms of Functorially

- together with its rich organisational structure hypothesised (so-called functoriality). Harish-Chandra's work exploited the principle that what can be done...
- 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...
- fundamental groupoid instead of the fundamental group, and this construction is functorial. Algebra of continuous functions A contravariant functor from the category...
- In algebraic topology, a branch of mathematics, the (singular) homology of a topological space relative to a subspace is a construction in singular 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...
- In the mathematical discipline of general topology, Stone–Čech compactification (or Čech–Stone compactification) is a technique for constructing a universal...
- In algebraic topology, singular homology refers to the study of a certain set of algebraic invariants of a topological space X {\displaystyle X} , the...
- In mathematics, deformation theory is the study of infinitesimal conditions ****ociated with varying a solution P of a problem to slightly different solutions...
- implication. The representing object C above can be shown to depend functorially on F: any natural transformation from F to another functor satisfying...
- obtained by Cogdell et al. (2004) as a consequence of their Langlands functorial lift. Drinfeld's proof of the global Langlands correspondence for GL(2)...