💡 Words with a Similar Meaning to "Zero object"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| null objectnoun | (object-oriented programming) An object that does nothing and is used instead of a null. |
| initial objectnoun | (category theory) An object within a category which sends out arrows to all other objects in that category, and such that each of these arrows is unique. |
| terminal objectnoun | (category theory) An object within a category which receives arrows from all other objects in that category, and such that each of these arrows is unique. |
| global elementnoun | (category theory) A morphism from the terminal object to a given object (to which it is said to belong). |
| objectnoun | A thing that has physical existence but is not alive. |
| natural numbers objectnoun | (category theory) An object which has a distinguished global element (which may be called z, for “zero”) and a distinguished endomorphism (which may be called s, for “successor”) such that iterated compositions of s upon z (i.e., sⁿ∘z) yields other global elements of the same object which correspond to the natural numbers (sⁿ∘z↔n). Such object has the universal property that for any other object with a distinguished global element (call it z’) and a distinguished endomorphism (call it s’), there is a unique morphism (call it φ) from the given object to the other object which maps z to z’ (ϕ∘z=z') and which commutes with s; i.e., ϕ∘s=s'∘ϕ. |
| 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. |
| generic elementnoun | (category theory) The identity element of an object when thought of as a generalized element of that object. |
| kernelnoun | The core, center, or essence of an object or system. |
| cokernelnoun | (mathematics, category theory) The target of operatorname cokerf, denoted operatorname Cokerf. |
| elementary toposnoun | (category theory) A Cartesian closed category which has a subobject classifier. |
| zeronoun | The numeric symbol that represents the cardinal number zero. |
| zero vectornoun | (mathematics, linear algebra) A vector 0 in a vector space V such that for any v∈V, 0+v=v; a vector whose value in every dimension is zero; i.e., ⃑0=<0,0,…,0>. |
| zero morphismnoun | (category theory) A morphism which is both a constant morphism and a coconstant morphism. |
| monadnoun | One thing, one being, one item. |
| small categorynoun | (category theory) A category such that all of its objects form a set and all of its morphisms form a set. |
| toposnoun | A literary theme or motif; a rhetorical convention or formula. |
| autoequivalencenoun | (mathematics, category theory) An equivalence between an object and itself. |
| cartesian closed categorynoun | (category theory) A category which has a terminal object and which for every two objects A and B has a product A × B and an exponential object Bᴬ. |
| subobject classifiernoun | (category theory) An object which serves as the codomain of a classifying morphism, together with a "true" global element of the said object. |
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