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Overcone

💡 Words with a Similar Meaning to "Overcone"

Found via reverse dictionary — words that share a conceptual meaning.

WordDefinition
overfunctornoun(category theory) A morphism of an overcategory.
overcategorynoun(category theory) Any functor into a specified base category.
cofunctornounA contravariant 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.
profunctornoun(mathematics) A generalization of a relation in category theory
contravariant functornoun(category theory) A functor which maps a morphism f:X → Y to a morphism F(f):F(Y) → F(X), such that if h=g∘f, then F(h)=F(f)∘F(g).
functornoun(object-oriented programming) A function object.
inversenounAn inverted state: a state in which something has been turned (properly) upside down or (loosely) inside out or backwards.
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.
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.
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).
endofunctornoun(category theory) A functor that maps a category to itself.
contravariancenoun(object-oriented programming) The reversal of the order of data types acted upon by an operator.
coaugmentationnoun(mathematics) A natural transformation from the identity functor to a certain endofunctor.
bifunctornoun(category theory) A functor whose domain is a product of categories.
endobifunctornoun(mathematics) A bifunctor between a bicategory and itself.
split monomorphismnoun(category theory) A morphism which has a left inverse.
pseudofunctornoun(mathematics) A mapping between categories that is just like a functor except that f(x∘y)=f(x)∘f(y) and f(1)=1 do not hold as exact equalities but only up to coherent isomorphisms.
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.
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.

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