💡 Words with a Similar Meaning to "Morphism"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| injective | (mathematics) Of, relating to, or being an injection: such that each element of the image (or range) is associated with at most one element of the preimage (or domain); inverse-deterministic |
| comorphismnoun | (mathematics) A mapping associated with a morphism that, when applied to every member of the morphism, results in the same value as the morphism applied to the image of every member. |
| functornoun | (object-oriented programming) A function object. |
| morphism setnoun | (category theory) hom-set |
| multicategory | Of or relating to more than one category. |
| monomorphismnoun | (mathematics) an injective homomorphism |
| epimorphismnoun | (category theory) A morphism p such that for any other pair of morphisms f and g, if f∘p=g∘p, then f = g. |
| orthomorphismnoun | (mathematics) A morphism that is also a permutation |
| universal morphismnoun | (category theory) The terminal object of a comma category from a functor to a fixed object; or, dually, the initial object of a comma category from a fixed object to a functor. |
| diagonal morphismnoun | (category theory) A morphism from an object to the product of that object with itself, which morphism is induced by a pair of identity morphisms of the said object. |
| mappingnoun | The process of making maps. |
| graphnoun | (applied mathematics, statistics) A data chart (graphical representation of data) intended to illustrate the relationship between a set (or sets) of numbers (quantities, measurements or indicative numbers) and a reference set, whose elements are indexed to those of the former set(s) and may or may not be numbers. |
| full functornoun | (category theory) A functor which maps morphisms from its source to its target category in such a way that the restriction of that mapping to any source hom-set is surjective into the corresponding target hom-set. |
| generalized elementnoun | (category theory) A morphism whose codomain is some specified object. |
| twist morphismnoun | (category theory) An isomorphism between a pair of products which have the same components but in swapped order, which isomorphism commutes with the two associated product diagrams. |
| overfunctornoun | (category theory) A morphism of an overcategory. |
| natural transformationnoun | (category theory) A morphism between a pair of parallel functors such that if each object of the shared domain category subtends a correlated arrow — called a component — in the shared codomain (which arrow represents the difference between applying the second functor and the first functor to the correlated object) then each arrow of the shared domain subtends a commuting square — called a naturality square — between two components (correlated to the domain and codomain of the arrow). |
| slice categorynoun | (category theory) A category whose objects are morphisms (of some given category) with a common codomain, and whose morphisms are commuting triangles where two morphisms of each of such triangles share the said common codomain. |
| classifying morphismnoun | (category theory) A morphism from an object to the subobject classifier which corresponds to a unique subobject of the said object, which subobject is the pullback, along this morphism, of the "true" global element of the subobject classifier. |
| mononoun | (informal) A monogamous person. |
🎨 Adjectives for "Morphism"
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