💡 Words with a Similar Meaning to "Morphism set"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| hom-setnoun | (category theory) The set or collection of all morphisms from A to B for some given ordered pair (A, B) of objects from some given category. |
| morphismnoun | (mathematics, category theory) (formally) An arrow in a category; (less formally) an abstraction that generalises a map from one mathematical object to another and is structure-preserving in a way that depends on the branch of mathematics from which it arises. |
| small categorynoun | (category theory) A category such that all of its objects form a set and all of its morphisms form a set. |
| representable functornoun | (category theory) A functor from some category to the category of sets (Set) which is naturally isomorphic to a hom functor. |
| functornoun | (object-oriented programming) A function object. |
| monomorphismnoun | (mathematics) an injective homomorphism |
| orthomorphismnoun | (mathematics) A morphism that is also a permutation |
| 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. |
| sievenoun | A device with a mesh, grate, or otherwise perforated bottom to separate, in a granular material, larger particles from smaller ones, or to separate solid objects from a liquid. |
| discrete categorynoun | (category theory) A category whose morphisms are all identity morphisms. |
| split monomorphismnoun | (category theory) A morphism which has a left inverse. |
| zero morphismnoun | (category theory) A morphism which is both a constant morphism and a coconstant morphism. |
| cohomologynoun | (mathematics) A system of quotient groups associated to a topological space. |
| 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. |
| 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. |
| inversenoun | An inverted state: a state in which something has been turned (properly) upside down or (loosely) inside out or backwards. |
| mapping class groupnoun | The group of self-homeomorphisms of a topological space, modulo homotopy. |
| 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. |
| split epimorphismnoun | (category theory) A morphism which has a right inverse. |
| identity functornoun | (category theory) A functor from a category to itself which maps each object of that category to itself and each morphism of that category to itself. |
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